Date: Wed, 27 Nov 19 01:32:50 GMT Subject: math-ph daily 2 new + 9 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Mon 25 Nov 19 19:00:00 GMT to Tue 26 Nov 19 19:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1911.11269 Date: Mon, 25 Nov 2019 23:14:04 GMT (510kb,D) Title: Global gauge conditions in the Batalin-Vilkovisky formalism Authors: Ezra Getzler and Sean Weinz Pohorence Categories: math-ph hep-th math.DG math.MP Comments: 24 pages MSC-class: 81T70, 81T60 \\ In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge conditions over different parts of the space of fields, and apply this method to extend the light-cone gauge for the superparticle to a conic neighbourhood of the forward light-cone in momentum space. \\ ( https://arxiv.org/abs/1911.11269 , 510kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11316 Date: Tue, 26 Nov 2019 03:28:46 GMT (24kb) Title: Harmonic analysis for rank-1 Randomised Horn Problems Authors: Jiyuan Zhang, Mario Kieburg and Peter J. Forrester Categories: math-ph math.CA math.MP math.PR Comments: 23 pages MSC-class: 15B52, 60B20, 42B10 \\ The randomised Horn problem, in both its additive and multiplicative version, has recently drawn increasing interest. Especially, closed analytical results have been found for the rank-1 perturbation of sums of Hermitian matrices and products of unitary matrices. We will generalise these results to rank-1 perturbations for products of positive definite Hermitian matrices and prove the other results in a new unified way. Our ideas work along harmonic analysis for matrix groups via spherical transforms that have been successfully applied in products of random matrices in the past years. In order to achieve the unified derivation of all three cases, we define the spherical transform on the unitary group and prove its invertibility. \\ ( https://arxiv.org/abs/1911.11316 , 24kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1911.11153 (*cross-listing*) Date: Mon, 25 Nov 2019 19:00:25 GMT (24kb,D) Title: Sewing states of quantum field theory Authors: Nima Lashkari Categories: hep-th math-ph math.MP quant-ph Comments: 26 pages \\ Consider an $n$-partite system and denote by $\omega^{(i)}$ the local density matrix at site $A_i$. We say a pure $n$-partite state $|\Omega\rangle$ sews $\omega^{(i)}$ together if it reduces to $\omega^{(i)}$ on $A_i$ for all $i$. In finite quantum systems, density matrices can be sewn together only if their eigenvalues satisfy polygon inequalities. We show that in quantum field theory there are no constraints on sewing local states. The reason is that rotating $\omega^{(i)}$ by a unitary $U_i$ in $A_i$ we come arbitrarily close to any other $\psi^{(i)}$. We construct explicit unitaries that sew local states. \\ ( https://arxiv.org/abs/1911.11153 , 24kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11171 (*cross-listing*) Date: Mon, 25 Nov 2019 19:10:08 GMT (18kb) Title: Classical vs. quantum satisfiability in linear constraint systems modulo an integer Authors: Hammam Qassim and Joel. J. Wallman Categories: quant-ph math-ph math.MP \\ A system of linear constraints can be unsatisfiable and yet admit a solution in the form of quantum observables whose correlated outcomes satisfy the constraints. Recently, it has been claimed that such a satisfiability gap can be demonstrated using tensor products of generalized Pauli observables in odd dimensions. We provide an explicit proof that no quantum-classical satisfiability gap in any linear constraint system can be achieved using these observables. We prove a few other results for linear constraint systems modulo d > 2. We show that a characterization of the existence of quantum solutions when d is prime, due to Cleve et al, holds with a small modification for arbitrary d. We identify a key property of some linear constraint systems, called phase-commutation, and give a no-go theorem for the existence of quantum solutions to constraint systems for odd d whenever phase-commutation is present. As a consequence, all natural generalizations of the Peres-Mermin magic square and pentagram to odd prime d do not exhibit a satisfiability gap. \\ ( https://arxiv.org/abs/1911.11171 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11173 (*cross-listing*) Date: Mon, 25 Nov 2019 19:13:41 GMT (64kb) Title: Geometry of Localized Effective Theory, Exact Semi-classical Approximation and Algebraic Index Authors: Zhengping Gui, Si Li, and Kai Xu Categories: math.QA hep-th math-ph math.DG math.MP Comments: 41 pages. Comments are welcome \\ In this paper we propose a general framework to study the quantum geometry of $\sigma$-models when they are effectively localized to small quantum fluctuations around constant maps. Such effective theories have surprising exact descriptions at all loops in terms of target geometry and can be rigorously formulated. We illustrate how to turn the physics idea of exact semi-classical approximation into a geometric set-up in this framework, using Gauss-Manin connection. We carry out this program by a detailed study of the example of topological quantum mechanics. The effective theory leads to an explicit construction of the universal trace map on periodic cyclic chains of matrix Weyl algebras. As an application, we explain how to implement the idea of exact semi-classical approximation into a proof of the algebraic index theorem. The proof resembles much of the physics derivation of Atiyah-Singer index theorem and clarifies the geometric face of many other mathematical constructions. \\ ( https://arxiv.org/abs/1911.11173 , 64kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11200 (*cross-listing*) Date: Mon, 25 Nov 2019 20:06:31 GMT (1692kb,D) Title: Geodesically complete black holes Authors: Ra\'ul Carballo-Rubio, Francesco Di Filippo, Stefano Liberati, Matt Visser Categories: gr-qc math-ph math.MP Comments: 22 pages, 16 figures \\ The 1965 Penrose singularity theorem demonstrates the utterly inevitable and unavoidable formation of spacetime singularities under physically reasonable assumptions, and it remains one of the main results in our understanding of black holes. It is standard lore that quantum gravitational effects will always tame these singularities in black hole interiors. However, the Penrose's theorem provides no clue as to the possible (non-singular) geometries that may be realized in theories beyond general relativity as the result of singularity regularization. In this paper we analyze this problem in spherically symmetric situations, being completely general otherwise, in particular regarding the dynamics of the gravitational and matter fields. Our main result is that, contrary to what one might expect, the set of regular geometries that arises is remarkably limited. We rederive geometries that have been analyzed before, but also uncover some new possibilities. Moreover, the complete catalogue of possibilities that we obtain allows us to draw the novel conclusion that there is a clear tradeoff between internal and external consistency: One has to choose between models that display internal inconsistencies, or models that include significant deviations with respect to general relativity, which should therefore be amenable to observational tests via multi-messenger astrophysics. \\ ( https://arxiv.org/abs/1911.11200 , 1692kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11401 (*cross-listing*) Date: Tue, 26 Nov 2019 08:36:14 GMT (43kb) Title: A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams Authors: Metod Saniga, Frederic Holweck and Hamza Jaffali Categories: quant-ph math-ph math.CO math.MP Comments: 6 pages, 2 figures \\ Given the facts that the three-qubit symplectic polar space features three different kinds of observables and each of its labeled Fano planes acquires a definite sign, we found that there are 45 distinct types of Mermin pentagrams in this space. A key element of our classification is the fact that any context of such pentagram is associated with a unique (positive or negative) Fano plane. Several intriguing relations between the character of pentagrams' three-qubit observables and `valuedness' of associated Fano planes are pointed out. In particular, we find two distinct kinds of negative contexts and as many as four positive ones. \\ ( https://arxiv.org/abs/1911.11401 , 43kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11412 (*cross-listing*) Date: Tue, 26 Nov 2019 09:10:28 GMT (18kb) Title: Lattice models, deformed Virasoro algebra and reduction equation Authors: Michael Lashkevich, Yaroslav Pugai, Jun'ichi Shiraishi and Yohei Tutiya Categories: hep-th math-ph math.MP math.QA Comments: 13 pages \\ We study the fused currents of the deformed Virasoro algebra (DVA). By constructing a homotopy operator we show that for special values of the parameter of the algebra fused currents pairwise coincide on the cohomologies of the Felder resolution. Within the algebraic approach to lattice models these currents are known to describe neutral excitations of the solid-on-solid (SOS) models in the transfer-matrix picture. It allows us to prove the closeness of the system of excitations for a special nonunitary series of restricted SOS (RSOS) models. Though the results of the algebraic approach to lattice models were consistent with the results of other methods, the lack of such proof had been an essential gap in its construction. \\ ( https://arxiv.org/abs/1911.11412 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11626 (*cross-listing*) Date: Mon, 25 Nov 2019 18:11:11 GMT (32kb,D) Title: Construction of the classical time crystal Lagrangians from Sisyphus dynamics and duality description with the Li\'enard type equation Authors: Partha Guha and A Ghose-Choudhury Categories: nlin.SI math-ph math.MP Comments: arXiv admin note: text overlap with arXiv:1904.11225 \\ We explore the connection between the equations describing Sisyphus dynamics and the generic Li\'{e}nard type or Li\'{e}nard equation from the viewpoint of branched Hamiltonians. The former provides the appropriate setting for classical time crystal being derivable from a higher order Lagrangian. However it appears the equations of Sisyphus dynamics have a close relation with the Li\'{e}nard-II equation when expressed in terms of the `velocity' variable. Another interesting feature of the equations of Sisyphus dynamics is the appearance of velocity dependent "mass function" in contrast to the more commonly encountered position dependent mass. The consequences of such mass functions seem to have connections to cosmological time crystals . \\ ( https://arxiv.org/abs/1911.11626 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11724 (*cross-listing*) Date: Tue, 26 Nov 2019 18:02:49 GMT (62kb,D) Title: Elliptic Blowup Equations for 6d SCFTs. III: E--strings, M--strings and Chains Authors: Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang Categories: hep-th math-ph math.MP Comments: 53 pages, 10 tables \\ We establish the elliptic blowup equations for E--strings and M--strings and solve elliptic genera and refined BPS invariants from them. Such elliptic blowup equations can be derived from a path integral interpretation. We provide toric hypersurface construction for the Calabi-Yau geometries of M--strings and those of E--strings with up to three mass parameters turned on, as well as an approach to derive the perturbative prepotential directly from the local description of the Calabi-Yau threefolds. We also demonstrate how to systematically obtain blowup equations for all rank one 5d SCFTs from E--string by blow-down operations. Finally, we present blowup equations for E--M and M string chains. \\ ( https://arxiv.org/abs/1911.11724 , 62kb) ------------------------------------------------------------------------------ \\ arXiv:1911.11736 (*cross-listing*) Date: Tue, 26 Nov 2019 18:16:05 GMT (66kb,D) Title: Hopf monoids, permutohedral tangent cones, and generalized retarded functions Authors: William Norledge and Adrian Ocneanu Categories: math.CO math-ph math.MP \\ The commutative Hopf monoid of set compositions is a fundamental Hopf monoid internal to vector species, having Bosonic Fock image the Hopf algebra of quasisymmetric functions. We construct a geometric realization of this Hopf monoid over the adjoint braid arrangement, which identifies the monomial basis with signed characteristic functions of open permutohedral tangent cones. We show that the indecomposable quotient is obtained by identifying functions which differ only on hyperplanes, so that the resulting Lie coalgebra consists of functions on chambers of the adjoint braid arrangement. These functions are characterized by the Steinmann relations of axiomatic QFT, demonstrating an equivalence between the Steinmann relations, tangent cones to generalized permutohedra, and having algebraic structure in species. Our results give the pure mathematical interpretation of a classical construction in axiomatic QFT. We show that generalized time-ordered functions correspond to the cocommutative Hopf monoid of set compositions, and generalized retarded functions correspond to its primitive part. \\ ( https://arxiv.org/abs/1911.11736 , 66kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1705.05859 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 15:58:00 GMT (43kb,D) Title: Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators Authors: Promit Ghosal Categories: math.PR math-ph math.CO math.MP MSC-class: 60C05, O5E05 Journal-ref: SIGMA 15 (2019), 092, 37 pages DOI: 10.3842/SIGMA.2019.092 \\ ( https://arxiv.org/abs/1705.05859 , 43kb) ------------------------------------------------------------------------------ \\ arXiv:1706.03855 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 18:19:27 GMT (38kb) Title: Ehlers-Kundt Conjecture about Gravitational Waves and Dynamical Systems Authors: Jos\'e L. Flores, Miguel S\'anchez Categories: gr-qc math-ph math.CV math.DG math.DS math.MP Comments: Final version with minor changes and some new references \\ ( https://arxiv.org/abs/1706.03855 , 38kb) ------------------------------------------------------------------------------ \\ arXiv:1711.05958 (*cross-listing*) replaced with revised version Mon, 25 Nov 2019 20:04:38 GMT (354kb,D) Title: $E_8$ spectral curves Authors: Andrea Brini Categories: hep-th math-ph math.AG math.MP nlin.SI Comments: 87 pages, 5 figures. Raw binaries containing spectral curve data available with an accompanying Mathematica notebook at https://tiny.cc/E8SpecCurve (180Mb ZIP archive; beware this currently unpacks to 912Mb). v2: a few corrections in section 5, typos fixed. v3: minor changes in the introduction, references added, version accepted for publication on Proc. Lond. Math. Soc \\ ( https://arxiv.org/abs/1711.05958 , 354kb) ------------------------------------------------------------------------------ \\ arXiv:1805.01303 replaced with revised version Tue, 26 Nov 2019 10:49:40 GMT (31kb) Title: Spacetime diffeomorphisms as matter fields Authors: Matteo Capoferri, Dmitri Vassiliev Categories: math-ph hep-th math.AP math.DG math.MP Comments: Minor edits MSC-class: 53C50 (primary), 22E43, 35Q41, 35Q61, 74B20 (secondary) \\ ( https://arxiv.org/abs/1805.01303 , 31kb) ------------------------------------------------------------------------------ \\ arXiv:1904.04766 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 05:15:14 GMT (73kb) Title: A note on S-dual basis in free fermion system Authors: Shinya Sasa, Akimi Watanabe and Yutaka Matsuo Categories: hep-th math-ph math.MP math.QA Comments: 30 pages, 4 figures; typos corrected, references added Report-no: UT-19-05 \\ ( https://arxiv.org/abs/1904.04766 , 73kb) ------------------------------------------------------------------------------ \\ arXiv:1907.00656 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 18:30:24 GMT (749kb,D) Title: Narrow peaks of full transmission in simple quantum graphs Authors: A. Drinko and F. M. Andrade and D. Bazeia Categories: quant-ph cond-mat.mes-hall math-ph math.MP Comments: 9 pages, 10 figures, to appear in Physical Review A \\ ( https://arxiv.org/abs/1907.00656 , 749kb) ------------------------------------------------------------------------------ \\ arXiv:1910.06807 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 12:22:26 GMT (29kb) Title: Recursion and Hamiltonian operators for integrable nonabelian difference equations Authors: Matteo Casati and Jing Ping Wang Categories: nlin.SI math-ph math.MP Comments: 31 pages \\ ( https://arxiv.org/abs/1910.06807 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1911.01161 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 10:53:10 GMT (22kb) Title: An interacting conformal chiral 2-form electrodynamics in six dimensions Authors: Paul K. Townsend Categories: hep-th math-ph math.MP Comments: 31 pages. Minor corrections and additional references in V2, but also new material on the algebra of constraints for the M5-brane \\ ( https://arxiv.org/abs/1911.01161 , 22kb) ------------------------------------------------------------------------------ \\ arXiv:1911.01742 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 13:33:12 GMT (13kb) Title: A hint towards mass dimension one Flag-dipole spinors Authors: R. J. Bueno Rogerio, C. H. Coronado Villalobos and A. R. Aguirre Categories: hep-th math-ph math.MP Comments: 11 pages, 0 figures \\ ( https://arxiv.org/abs/1911.01742 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1911.06943 (*cross-listing*) replaced with revised version Tue, 26 Nov 2019 01:56:23 GMT (29kb) Title: The Overlap Gap Property and Approximate Message Passing Algorithms for $p$-spin models Authors: David Gamarnik and Aukosh Jagannath Categories: math.PR cond-mat.stat-mech math-ph math.MP Comments: 27 pages \\ ( https://arxiv.org/abs/1911.06943 , 29kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arxiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arxiv.org/help/