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Related papers: Holographic Order from Modular Chaos

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We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconductors with inversion symmetry can be gapped without symmetry…

Strongly Correlated Electrons · Physics 2022-09-27 Ming-Hao Li , Titus Neupert , S. A. Parameswaran , Apoorv Tiwari

We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the…

High Energy Physics - Theory · Physics 2018-11-05 Jin-Beom Bae , Sungjay Lee , Jaewon Song

The present paper points out to a novel scenario for formation of chaotic attractors in a class of models of excitable cell membranes near an Andronov-Hopf bifurcation (AHB). The mechanism underlying chaotic dynamics admits a simple and…

Chaotic Dynamics · Physics 2009-11-13 Georgi S. Medvedev , Yun Yoo

In our previous article [arXiv:2307.12552], we introduced local topological order (LTO) axioms for quantum spin systems which allowed us to define a physical boundary manifested by a net of boundary algebras in one dimension lower. This…

Mathematical Physics · Physics 2025-06-26 Corey Jones , Pieter Naaijkens , David Penneys

We consider the Hamiltonian flow on complex complete intersection surfaces with isolated singularities, equipped with the Jacobian Poisson structure. More generally we consider complete intersections of arbitrary dimension equipped with…

Symplectic Geometry · Mathematics 2016-06-27 Pavel Etingof , Travis Schedler

This paper deals with the problem of analytically computing the largest Lyapunov exponent for many degrees of freedom Hamiltonian systems. This aim is succesfully reached within a theoretical framework that makes use of a geometrization of…

chao-dyn · Physics 2009-10-28 Lapo Casetti , Cecilia Clementi , Marco Pettini

Holographic RG flows can be better understood with the help of radially conserved charges. It was shown by various authors that the bulk gauge and diffeomorphism symmetries lead to the conservation of the zero mode of the holographic U(1)…

High Energy Physics - Theory · Physics 2018-05-23 Christian Copetti , Jorge Fernández-Pendás

We study modular theory in hyperfinite von Neumann algebras, i.e. in those of type II or type III, from the viewpoint of a subregion charge sector decomposition. We address this symmetry resolution by considering infinite tensor products of…

High Energy Physics - Theory · Physics 2025-10-06 Giuseppe Di Giulio , Moritz Dorband , Johanna Erdmenger , Henri Scheppach

d3 and d5 maximally SUSY gauged supergravity is considered in the parametrization (flow) of full scalar coset where the kinetic term for scalars takes the standard field theory form and the bulk potential is an arbitrary one subject to…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Sachiko Ogushi

We relate the Riemann curvature of a holographic spacetime to an entanglement property of the dual CFT state: the Berry curvature of its modular Hamiltonians. The modular Berry connection encodes the relative bases of nearby CFT subregions…

High Energy Physics - Theory · Physics 2020-01-08 Bartlomiej Czech , Jan de Boer , Dongsheng Ge , Lampros Lamprou

We study holographic aspects of 2D dilaton-supergravity in flat space-time using gauge theoretic BF formulation. The asymptotic symmetries in Bondi gauge and at finite temperature span a supersymmetric extension of the warped Virasoro…

High Energy Physics - Theory · Physics 2023-03-16 Hamid Afshar , Narges Aghamir

Within a phenomenological holographic model in $(4+1)$-bulk dimensions, defined by Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a Chern-Simons term, we explore the fate of BF-bound violation for…

High Energy Physics - Theory · Physics 2017-12-06 Arnab Kundu

Recent developments identify pole-skipping as a `smoking-gun' signature of the hydrodynamic nature of chaos, offering an alternative way to probe quantum chaos in addition to the out-of-time-ordered correlator (OTOC). We study the quantum…

High Energy Physics - Theory · Physics 2025-11-07 Hong-Da Lyu , Jun-Kun Zhao , Li Li

We study holographic conformal order compactified on $S^3$. The corresponding boundary CFT$ _4$ has a thermal phase with a nonzero expectation value of a certain operator. The gravitational dual to the ordered phase is represented by a…

High Energy Physics - Theory · Physics 2021-11-17 Alex Buchel

Quantization of field-theoretic models with gauge symmetries is often obstructed by quantum anomalies. It is commonly believed that the origin of these anomalies lies in the infinite number of degrees of freedom, which requires completing…

Mathematical Physics · Physics 2025-05-12 Boris M. Elfimov , Alexey A. Sharapov

In his 1989 paper, Floer established a connection between holomorphic strips with boundary on a Lagrangian $L$ and a small Hamiltonian push-off $L_{f}$, and gradient flow lines for the function $f$. The present paper studies the compactness…

Symplectic Geometry · Mathematics 2023-02-28 Dylan Cant , Daren Chen

The Ryu-Takayanagi conjecture provides a holographic description for the entanglement entropy for the strongly coupled holographic CFTs in the semi-classical limit. It proposes that the entanglement entropy is given by the area of the…

High Energy Physics - Theory · Physics 2022-07-19 Jun Tsujimura

Motivated by gauge theory under special holonomy, we present techniques to produce holomorphic bundles over certain noncompact $3-$folds, called building blocks, satisfying a stability condition `at infinity'. Such bundles are known to…

Algebraic Geometry · Mathematics 2021-04-09 Marcos B. Jardim , Grégoire Menet , Daniela M. Prata , Henrique N. Sá Earp

We characterize two classical types of conformality of a holomorphic self-map of the unit disk at a boundary point - existence of a finite angular derivative in the sense of Carath\'eodory and the weaker property of angle preservation - in…

Complex Variables · Mathematics 2024-10-21 Pavel Gumenyuk , Maria Kourou , Annika Moucha , Oliver Roth

We study simple examples of ensemble-averaged holography in free compact boson CFTs with rational values of the radius squared. These well-known rational CFTs have an extended chiral algebra generated by three currents. We consider the…

High Energy Physics - Theory · Physics 2022-01-07 Joris Raeymaekers