scholarly journals Generalized Chern–Simons higher-spin gravity theories in three dimensions

2018 ◽  
Vol 934 ◽  
pp. 240-264 ◽  
Author(s):  
Ricardo Caroca ◽  
Patrick Concha ◽  
Octavio Fierro ◽  
Evelyn Rodríguez ◽  
Patricio Salgado-Rebolledo
Keyword(s):  
Higher Spin Gravity ◽  
Three Dimensions ◽  
Higher Spin ◽  
Gravity Theories ◽  
Chern Simons

scholarly journals Characteristic cohomology and observables in higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov
Keyword(s):  
Higher Spin Gravity ◽  
Complete Classification ◽  
Gravity Models ◽  
Simons Theory ◽  
Surface Charges ◽  
Higher Spin ◽  
Dynamical Invariants ◽  
Chern Simons ◽  
Conserved Currents

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

scholarly journals An action for matter coupled higher spin gravity in three dimensions

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Roberto Bonezzi ◽  
Nicolas Boulanger ◽  
Ergin Sezgin ◽  
Per Sundell
Keyword(s):  
Higher Spin Gravity ◽  
Three Dimensions ◽  
Higher Spin

scholarly journals Higher spin Chern–Simons theory and the super Boussinesq hierarchy

2018 ◽  
Vol 33 (14n15) ◽  
pp. 1850085
Author(s):  
Michael Gutperle ◽  
Yi Li
Keyword(s):  
Time Evolution ◽  
Gauge Transformation ◽  
Poisson Structure ◽  
Higher Spin Gravity ◽  
Hamiltonian Structure ◽  
Evolution Equations ◽  
Simons Theory ◽  
Higher Spin ◽  
Chern Simons ◽  
Chern Simons Theory

In this paper, we construct a map between a solution of supersymmetric Chern–Simons higher spin gravity based on the superalgebra [Formula: see text] with Lifshitz scaling and the [Formula: see text] super Boussinesq hierarchy. We show that under this map the time evolution equations of both theories coincide. In addition, we identify the Poisson structure of the Chern–Simons theory induced by gauge transformation with the second Hamiltonian structure of the super Boussinesq hierarchy.

scholarly journals Chern-Simons matter theories and higher spin gravity

2017 ◽  
Vol 2017 (7) ◽  
Author(s):  
Ergin Sezgin ◽  
Evgeny D. Skvortsov ◽  
Yaodong Zhu
Keyword(s):  
Higher Spin Gravity ◽  
Higher Spin ◽  
Chern Simons

scholarly journals Supersymmetric localization on dS: sum over topologies

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Rudranil Basu ◽  
Augniva Ray
Keyword(s):  
Partition Function ◽  
Quantum Gravity ◽  
Higher Spin Gravity ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Higher Spin ◽  
3D Gravity ◽  
Chern Simons ◽  
Perturbative Result

AbstractWe find the exact quantum gravity partition function on the static patch of 3d de Sitter spacetime. We have worked in the Chern Simons formulation of 3d gravity. To obtain a non-perturbative result, we supersymmetrized the Chern Simons action and used the technique of supersymmetric localization. We have obtained an exact non-perturbative result for the spin-2 gravity case. We comment on the divergences present in the theory. We also comment on higher spin gravity theories and analyse the nature of divergences present in such theories.

scholarly journals The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Damon J. Binder ◽  
Shai M. Chester ◽  
Max Jerdee ◽  
Silviu S. Pufu
Keyword(s):  
Block Decomposition ◽  
Point Function ◽  
Present Evidence ◽  
Bootstrap Techniques ◽  
Wide Range ◽  
Higher Spin ◽  
Tensor Multiplet ◽  
Higher Spins ◽  
M Theory ◽  
Chern Simons

Abstract We study the space of 3d $$ \mathcal{N} $$ N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the $$ \mathcal{N} $$ N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

scholarly journals Chern-Simons gravity dual of BCFT

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Tadashi Takayanagi ◽  
Takahiro Uetoko
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Entanglement Entropy ◽  
Einstein Gravity ◽  
Conformal Field ◽  
Holographic Entanglement Entropy ◽  
The World ◽  
Higher Spin ◽  
End Of The World ◽  
Chern Simons

Abstract In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the world brane in the Chern-Simons gauge theory. This reproduces known results of the AdS/BCFT for the Einstein gravity. We also give a prescription of calculating holographic entanglement entropy by employing Wilson lines which extend from the AdS boundary to the end of the world brane. We also discuss a higher spin extension of our formulation.

scholarly journals Higher-spin dynamics and Chern-Simons theories

2008 ◽  
Vol 56 (7-9) ◽  
pp. 895-900 ◽  
Author(s):  
J. Engquist ◽  
O. Hohm
Keyword(s):  
Spin Dynamics ◽  
Higher Spin ◽  
Chern Simons

scholarly journals Towards causal patch physics in dS/CFT

2018 ◽  
Vol 168 ◽  
pp. 01007 ◽  
Author(s):  
Yasha Neiman
Keyword(s):  
Field Theory ◽  
Higher Spin Gravity ◽  
De Sitter Space ◽  
Vector Model ◽  
Status Report ◽  
Quantum Field ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Higher Spin ◽  
Holographic Description

This contribution is a status report on a research program aimed at obtaining quantum-gravitational physics inside a cosmological horizon through dS/CFT, i.e. through a holographic description at past/future infinity of de Sitter space. The program aims to bring together two main elements. The first is the observation by Anninos, Hartman and Strominger that Vasiliev’s higher-spin gravity provides a working model for dS/CFT in 3+1 dimensions. The second is the proposal by Parikh, Savonije and Verlinde that dS/CFT may prove more tractable if one works in so-called “elliptic” de Sitter space – a folded-in-half version of global de Sitter where antipodal points have been identified. We review some relevant progress concerning quantum field theory on elliptic de Sitter space, higher-spin gravity and its holographic duality with a free vector model. We present our reasons for optimism that the approach outlined here will lead to a full holographic description of quantum (higher-spin) gravity in the causal patch of a de Sitter observer.

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