FREE MASSLESS BOSONIC FIELDS OF ARBITRARY SPIN IN D-DIMENSIONAL DE SITTER SPACE

1988 ◽  
Vol 03 (03) ◽  
pp. 257-270 ◽  
Author(s):  
V.E. LOPATIN ◽  
M.A. VASILIEV

Free massless bosonic fields of arbitrary spins s>1, corresponding to symmetric representations of SO(d−2) compact subgroup of the d-dimensional massless flat little group, are described in d-dimensional (anti-) de Sitter space in terms of differential forms. The formulation proposed is a generalization to arbitrary d≥4 of that suggested previously in the four dimensional case, which served in Refs. 1 and 2 as a starting point for introducing consistent gravitational interaction for all massless higher spin fields in d=4.

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Kirill Krasnov ◽  
Evgeny Skvortsov ◽  
Tung Tran

Abstract Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.


Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 2052
Author(s):  
Ioseph L. Buchbinder ◽  
Timofey V. Snegirev

We derived the component Lagrangian for the free N-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for N≤4k, where k is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.


2006 ◽  
Vol 2006 (08) ◽  
pp. 013-013 ◽  
Author(s):  
Glenn Barnich ◽  
Maxim Grigoriev

2018 ◽  
Vol 168 ◽  
pp. 01007 ◽  
Author(s):  
Yasha Neiman

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.


2018 ◽  
Vol 2018 (9) ◽  
Author(s):  
Evgeny I. Buchbinder ◽  
Jessica Hutomo ◽  
Sergei M. Kuzenko

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