AdS/CFT in superspace
High Energy Physics - Theory
2010-05-26 v2
Abstract
We relate the 10D IIB superstring (primarily free supergravity) expanded about AdS_5\timesS^5 to 4D N=4 Yang-Mills directly in superspace. The sphere becomes the CFT internal space of projective superspace, plus a coordinate counting the number of supergluons. The 32 fermionic coordinates of AdS become the 8 of the CFT in a spacecone gauge that manifestly preserves SO(3,1).SO(4). The PSU(2,2|4) algebra of AdS becomes the projective representation (plus the extra coordinate) on the boundary. (A review of projective superspace and the projective lightcone limit is included for self-containment.)
Cite
@article{arxiv.1005.2317,
title = {AdS/CFT in superspace},
author = {W. Siegel},
journal= {arXiv preprint arXiv:1005.2317},
year = {2010}
}
Comments
34 pages, no figures; v2: minor corrections