A Modular Invariant Partition Function for the Fivebrane
High Energy Physics - Theory
2010-11-15 v2
Abstract
We compute an SL(6,Z) invariant partition function for the chiral two-form of the M theory fivebrane compactified on the six-torus. From a manifestly SL(5,Z) invariant formalism, we prove that the partition function has an additional SL(2,Z) symmetry. The combination of these two symmetries ensures SL(6,Z) invariance. Thus, whether or not a fully covariant Lagrangian is available, the fivebrane on the six-torus has a consistent quantum theory.
Keywords
Cite
@article{arxiv.hep-th/9806016,
title = {A Modular Invariant Partition Function for the Fivebrane},
author = {Louise Dolan and Chiara R. Nappi},
journal= {arXiv preprint arXiv:hep-th/9806016},
year = {2010}
}
Comments
27 pages. References added. To appear in Nuclear Physics B