On Integrable Backgrounds Self-dual under Fermionic T-duality
High Energy Physics - Theory
2009-12-04 v4
Abstract
We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma-models on AdS backgrounds with Ramond-Ramond fluxes in various dimensions. We show that sigma-models based on supercosets of PSU supergroups, such as AdS_2 \times S^2 and AdS_3 \times S^3 are self-dual under fermionic T-duality, while supercosets of OSp supergroups such as non-critical AdS_2 and AdS_4 models, and the critical AdS_4 \times CP^3 background are not. We present a general algebraic argument to when a supercoset is expected to have a fermionic T-duality symmetry, and when it will fail to have one.
Cite
@article{arxiv.0902.3805,
title = {On Integrable Backgrounds Self-dual under Fermionic T-duality},
author = {Ido Adam and Amit Dekel and Yaron Oz},
journal= {arXiv preprint arXiv:0902.3805},
year = {2009}
}
Comments
LaTeX, 27 pages, no figures, JHEP3 style; v2: references added; v3: a comment in subsection 3.3 and a reference added; v4: fixed typos, published version