Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
Abstract
In this paper we continue the investigation of aspects of integrability of the type IIA AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) superstrings. By constructing a one parameter family of flat connections we prove that the Green-Schwarz string is classically integrable, at least to quadratic order in fermions, without fixing the kappa-symmetry. We then compare the quantum dispersion relation, fixed by integrability up to an unknown interpolating function h(lambda), to explicit one-loop calculations on the string worldsheet. For AdS(3) x S(3) x S(3) x S(1) the spectrum contains heavy, as well as light and massless modes, and we find that the one-loop contribution differs depending on how we treat these modes showing that similar regularization ambiguities as appeared in AdS(4)/CFT(3) occur also here.
Keywords
Cite
@article{arxiv.1207.5531,
title = {Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring},
author = {Per Sundin and Linus Wulff},
journal= {arXiv preprint arXiv:1207.5531},
year = {2015}
}
Comments
29 pages; v2: updated references and acknowledgment