Year: 2011
Type: article
Abstract: We construct a string sigma-model with a low-energy limit that describes the anti-de Sitter gravity and spin 3 massless fields in Vasiliev's framelike formalism. The model is based on vertex operators generating vielbein and connection fields in the MacDowell-Mansouri--Stelle-West formulation of gravity. The structure of the vertex operators is based on the hidden symmetry generators in Ramond-Neveu-Schwarz superstring theory, realizing the isometry group of the anti-de Sitter space. The beta-function equations in the sigma-model lead to equations of motion in the MacDowell-Mansouri--Stelle-West gravity with a negative cosmological constant with the anti-de Sitter geometry being the vacuum solution. Generalizations for the higher spin fields are analyzed and equations of motion for spin 3 fields in $d=3$ in framelike formalism are obtained in the low-energy limit of string theory. These equations correspond to those of $sl(3,R)$ truncated Chern-Simons action based on higher spin algebra $hs(1,1)$.
Author: Dimitri Polyakov
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1965324488