Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant

Fuente: arXiv
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Autores principales: Bekaert, Xavier, Pannier, Michel
Formato: Preprint
Publicado: 2026
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author Bekaert, Xavier
Pannier, Michel
author_facet Bekaert, Xavier
Pannier, Michel
contents In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincaré or Maxwell algebras and several of their higher-spin generalisations, both of finite and infinite dimension. The spectrum of the two-dimensional higher-spin gravity with vanishing cosmological constant based on the extended, infinite-dimensional higher-spin algebra is shown to contain an infinite collection of scalar degrees of freedom with a continuum of ever increasing mass, corresponding to the twisted-(co)adjoint representation. We comment on an approach to include backreaction of the scalar fields on the gravity sector at the level of formal equations of motion, thereby providing a first example of a fully interacting higher-spin gravity theory with vanishing cosmological constant in two dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08093
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
Bekaert, Xavier
Pannier, Michel
High Energy Physics - Theory
In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincaré or Maxwell algebras and several of their higher-spin generalisations, both of finite and infinite dimension. The spectrum of the two-dimensional higher-spin gravity with vanishing cosmological constant based on the extended, infinite-dimensional higher-spin algebra is shown to contain an infinite collection of scalar degrees of freedom with a continuum of ever increasing mass, corresponding to the twisted-(co)adjoint representation. We comment on an approach to include backreaction of the scalar fields on the gravity sector at the level of formal equations of motion, thereby providing a first example of a fully interacting higher-spin gravity theory with vanishing cosmological constant in two dimensions.
title Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.08093