Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
High Energy Physics - Theory
2009-09-15 v1
Abstract
The original proposal of Dijkgraaf, Verlinde and Verlinde for the quarter BPS dyon partition function in heterotic string theory on T^6 is known to correctly produce the degeneracy of dyons of torsion 1, i.e. dyons for which gcd(Q\wedge P)=1. We propose a generalization of this formula for dyons of arbitrary torsion. Our proposal satisfies the constraints coming from S-duality invariance, wall crossing formula, black hole entropy and the gauge theory limit. Furthermore using our proposal we derive a general wall crossing formula that is valid even when both the decay products are non-primitive half-BPS dyons.
Keywords
Cite
@article{arxiv.0802.1556,
title = {Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6},
author = {Shamik Banerjee and Ashoke Sen and Yogesh K. Srivastava},
journal= {arXiv preprint arXiv:0802.1556},
year = {2009}
}
Comments
LaTeX file, 16 pages