Beta Function of k Deformed AdS_5 x S^5 String Theory
High Energy Physics - Theory
2016-01-20 v2
Abstract
We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric space sigma models but also the k deformed semi-symmetric space sigma model describing strings in a deformation of AdS_5 x S^5. The world sheet sigma model is a current-current deformation of the gauged WZW model for the supergroup PSU(2,2|4) with level k. In the string theory context the beta function is shown to vanish because of the vanishing of the Killing form of PSU(2,2|4) which is another piece of evidence that the k deformed theories define consistent string theories.
Cite
@article{arxiv.1507.05420,
title = {Beta Function of k Deformed AdS_5 x S^5 String Theory},
author = {Calan Appadu and Timothy J. Hollowood},
journal= {arXiv preprint arXiv:1507.05420},
year = {2016}
}
Comments
26 pages, some typos corrected