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The low-energy effective quantum field theory of the edge excitations of a fully-gapped bulk topological phase corresponding to a local interaction Hamiltonian must be local and unitary. Here it is shown that whenever all the edge…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 N. Read

Using the Chern-Simons formulation of AdS3 gravity as well as the Costello-Witten-Yamazaki (CWY) theory for quantum integrability, we construct a novel topological 4D gravity given by Eq(5.1) with observables based on gravitational gauge…

High Energy Physics - Theory · Physics 2024-11-01 Y. Boujakhrout , R. Sammani , E. H Saidi

Chiral Higher Spin Gravity with cosmological constant is constructed as a Free Differential Algebra, i.e. at the level of equations of motion, which is a smooth deformation of its flat space cousin arXiv:2205.07794. Chiral Higher Spin…

High Energy Physics - Theory · Physics 2022-10-26 Alexey Sharapov , Evgeny Skvortsov

In this work we consider AdS$_3$ gravitational theory with certain mixed boundary conditions at spatial infinity. Using the Chern-Simons formalism of AdS$_3$ gravity, we find that these boundary conditions lead to non-trivial boundary…

High Energy Physics - Theory · Physics 2021-06-23 Miao He , Yi-hong Gao

We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation…

High Energy Physics - Theory · Physics 2009-12-17 Olivera Miskovic , Rodrigo Olea

A 2+1-dimensional topological quantum field theory (TQFT) may or may not admit topological (gapped) boundary conditions. A famous necessary, but not sufficient, condition for the existence of a topological boundary condition is that the…

High Energy Physics - Theory · Physics 2022-09-28 Justin Kaidi , Zohar Komargodski , Kantaro Ohmori , Sahand Seifnashri , Shu-Heng Shao

A scenario of non-Hermitian bulk--boundary correspondence proposed for one-dimensional topological insulators is adapted to a non-Hermitian Chern insulator to examine its applicability to two-dimensional systems. This scenario employs bulk…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Yositake Takane

A detailed Gitman-Lyakhovich-Tyutin analysis for higher-order topologically massive gravity is performed. The full structure of the constraints, the counting of physical degrees of freedom, and the Dirac algebra among the constraints are…

General Relativity and Quantum Cosmology · Physics 2021-08-18 A. Escalante , Jorge Hernández Aguilar

We examine the boundary behaviour of the gauged N=(2,0) supergravity in D=3 coupled to an arbitrary number of scalar supermultiplets which parametrize a Kahler manifold. In addition to the gravitational coupling constant, the model depends…

High Energy Physics - Theory · Physics 2009-10-31 N. S. Deger , A. Kaya , E. Sezgin , P. Sundell , Y. Tanii

We investigate the Chern-Simons-like formulation of exotic general massive gravity models within the framework of third-way to three-dimensional gravity. We classify our construction into two main approaches: one using torsional…

High Energy Physics - Theory · Physics 2024-12-03 Büşra Dedeoğlu , Mehmet Ozkan , Özgür Sarıoğlu

A $(2+1)$-dimensional gapped quantum many-body system can have a topologically protected energy current at its edge. The magnitude of this current is determined entirely by the temperature and the chiral central charge, a quantity…

Quantum Physics · Physics 2022-05-03 Isaac H. Kim , Bowen Shi , Kohtaro Kato , Victor V. Albert

In this note we explored the holographic relative entropy in the presence of the 5d Chern-Simons term, which introduces a mixed gauge-gravity anomaly to the dual CFT. The theory trivially satisfies an entanglement first law. However, to…

High Energy Physics - Theory · Physics 2016-08-24 Arpan Bhattacharyya , Long Cheng , Ling-Yan Hung

We propose an action to describe high spin topologically massive gravity with a negative cosmological constant. With the frame-like fields and spin connections being combined into two gauge fields, the action includes two gauge field…

High Energy Physics - Theory · Physics 2015-05-30 Bin Chen , Jiang Long

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

We reformulate chiral higher-spin Yang-Mills and gravity on $\mathbb{R}^4$ as 'CR-holomorphic' theories of Chern-Simons type; in the most general case, these are Moyal deformed to become non-commutative. They are defined on the space of…

High Energy Physics - Theory · Physics 2025-05-15 Lionel Mason , Atul Sharma

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector…

High Energy Physics - Theory · Physics 2017-09-13 Ergin Sezgin , Evgeny D. Skvortsov , Yaodong Zhu

We couple twisted non-compact N=(2,2) supersymmetric models to topological gravity in two dimensions. We propose expressions for the genus zero correlation functions based on a Kadomtsev-Petviashvili integrable hierarchy. Moreover, we prove…

High Energy Physics - Theory · Physics 2019-02-20 Songyuan Li , Jan Troost

It is proposed a new mechanism for the phenomenon of topological mass generation in three spacetime dimensions as the result of the interference of two opposite massless chiral modes. This mechanism, already used to produce the massive…

High Energy Physics - Theory · Physics 2007-05-23 Anderson Ilha , Clovis Wotzasek

We develop a formalism to extend, simultaneously, the usual definition of bulk and edge indices from topological insulators to the case of a finite sample with open boundary conditions, and provide a physical interpretation of these…

Mathematical Physics · Physics 2022-12-07 Lucien Jezequel , Clément Tauber , Pierre Delplace

In this paper, we generalise the treatment of isolated horizons in loop quantum gravity, resulting in a Chern-Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n+1)-dimensional spacetimes.…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn