scholarly journals One loop partition function for topologically massive higher spin gravity

2011 ◽  
Vol 2011 (12) ◽  
Author(s):  
Arjun Bagchi ◽  
Shailesh Lal ◽  
Arunabha Saha ◽  
Bindusar Sahoo
Keyword(s):  
Partition Function ◽  
Higher Spin Gravity ◽  
Higher Spin

scholarly journals On the spectrum of pure higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Luis F. Alday ◽  
Jin-Beom Bae ◽  
Nathan Benjamin ◽  
Carmen Jorge-Diaz
Keyword(s):  
Black Hole ◽  
Partition Function ◽  
Path Integral ◽  
Higher Spin Gravity ◽  
Central Charge ◽  
Modular Invariance ◽  
Light Spectrum ◽  
Negative Norm ◽  
Deficit Angle ◽  
Higher Spin

Abstract We study the spectrum of pure massless higher spin theories in AdS3. The light spectrum is given by a tower of massless particles of spin s = 2, ⋯ , N and their multi-particles states. Their contribution to the torus partition function organises into the vacuum character of the $$ {\mathcal{W}}_N $$ W N algebra. Modular invariance puts constraints on the heavy spectrum of the theory, and in particular leads to negative norm states, which would be inconsistent with unitarity. This negativity can be cured by including additional light states, below the black hole threshold but whose mass grows with the central charge. We show that these states can be interpreted as conical defects with deficit angle 2π(1 − 1/M). Unitarity allows the inclusion of such defects into the path integral provided M ≥ N.

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 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 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.

scholarly journals Quartic AdS interactions in higher-spin gravity from Conformal Field Theory

2015 ◽  
Vol 2015 (11) ◽  
Author(s):  
X. Bekaert ◽  
J. Erdmenger ◽  
D. Ponomarev ◽  
C. Sleight
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Higher Spin Gravity ◽  
Conformal Field ◽  
Higher Spin

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 Topologically massive higher spin gravity

2011 ◽  
Vol 2011 (10) ◽  
Author(s):  
Arjun Bagchi ◽  
Shailesh Lal ◽  
Arunabha Saha ◽  
Bindusar Sahoo
Keyword(s):  
Higher Spin Gravity ◽  
Higher Spin

scholarly journals Bosonic higher spin gravity in any dimension with dynamical two-form

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Cesar Arias ◽  
Roberto Bonezzi ◽  
Per Sundell
Keyword(s):  
Higher Spin Gravity ◽  
Higher Spin

scholarly journals Collective dipole model of AdS/CFT and higher spin gravity

2011 ◽  
Vol 44 (46) ◽  
pp. 465402 ◽  
Author(s):  
Antal Jevicki ◽  
Kewang Jin ◽  
Qibin Ye
Keyword(s):  
Higher Spin Gravity ◽  
Dipole Model ◽  
Higher Spin
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