Quantum \(\mathcal{W}\)-symmetry in AdS\({}_{3}\)

DOI10.1007/JHEP02(2011)004zbMATH Open1294.81105arXiv1009.6087MaRDI QIDQ407298

Author name not available (Why is that?)

Publication date: 29 August 2014

Published in: (Search for Journal in Brave)

Abstract: It has recently been argued that, classically, massless higher spin theories in AdS_3 have an enlarged W_N-symmetry as the algebra of asymptotic isometries. In this note we provide evidence that this symmetry is realised (perturbatively) in the quantum theory. We perform a one loop computation of the fluctuations for a massless spin $s$ field around a thermal AdS_3 background. The resulting determinants are evaluated using the heat kernel techniques of arXiv:0911.5085. The answer factorises holomorphically, and the contributions from the various spin $s$ fields organise themselves into vacuum characters of the W_N symmetry. For the case of the hs(1,1) theory consisting of an infinite tower of massless higher spin particles, the resulting answer can be simply expressed in terms of (two copies of) the MacMahon function.

Full work available at URL: https://arxiv.org/abs/1009.6087

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Quantum \(\mathcal{W}\)-symmetry in AdS\({}_{3}\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q407298)