Worldsheet Supersymmetry of Pohlmeyer-Reduced AdS_n x S^n Superstrings
High Energy Physics - Theory
2011-11-17 v3 Mathematical Physics
math.MP
Abstract
As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2 superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at the classical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories in the Pohlmeyer-reduced form reveal hidden N=(4,4) and N=(8,8) worldsheet supersymmetries. Our consideration is based on the modified mass-deformed gauged WZW action for the superstring equations. We present the explicit form of the supersymmetry transformations for both the off-shell action and the superstring equations. The characteristic feature of these transformations is the presence of non-local terms.
Keywords
Cite
@article{arxiv.1104.0706,
title = {Worldsheet Supersymmetry of Pohlmeyer-Reduced AdS_n x S^n Superstrings},
author = {M. Goykhman and E. Ivanov},
journal= {arXiv preprint arXiv:1104.0706},
year = {2011}
}
Comments
1+18 pages, minor corrections, published version