Coordinate-Free Action for AdS3 Higher-Spin-Matter Systems
Abstract
A coordinate-free action principle for the N=2 supersymmetric model of spin 0 and spin 1/2 matter fields interacting via Chern-Simons higher spin gauge fields in AdS3 is formulated in terms of star-product algebra of two oscillators. Although describing proper relativistic dynamics the action does not contain space-time coordinates. It is given by a supertrace of a forth-order polynomial in the 3d higher spin superalgebra. The theory admits a free parameter characterizing the inequivalent vacua associated with the parameter of mass m of the matter fields. For the case of the massless matter, the model has a form of the noncommutative 2d Yang-Mills theory with some infinite-dimensional gauge group. The limit m\to\infty corresponds to the SU(\infty) 2d Yang-Mills theory.
Keywords
Cite
@article{arxiv.hep-th/9912280,
title = {Coordinate-Free Action for AdS3 Higher-Spin-Matter Systems},
author = {Sergey Prokushkin and Arkady Segal and Mikhail Vasiliev},
journal= {arXiv preprint arXiv:hep-th/9912280},
year = {2009}
}
Comments
LaTeX, 14 pages, no figures; revised version to be published in Phys.Lett.B