Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
High Energy Physics - Theory
2009-10-31 v3
Abstract
A systematic approach to the study of semiclassical fluctuations of strings in AdS_5 x S^5 based on the Green-Schwarz formalism is developed. We show that the string partition function is well defined and finite. Issues related to different gauge choices are clarified. We consider explicitly several cases of classical string solutions with the world surface ending on a line, on a circle or on two lines on the boundary of AdS. The first example is a BPS object and the partition function is one. In the third example the determinants we derive should give the first corrections to the Wilson loop expectation value in the strong coupling expansion of the n=4 SYM theory at large N.
Cite
@article{arxiv.hep-th/0001204,
title = {Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function},
author = {Nadav Drukker and David J. Gross and Arkady Tseytlin},
journal= {arXiv preprint arXiv:hep-th/0001204},
year = {2009}
}
Comments
61 pages, harvmac, minor changes