English

The M5-Brane Elliptic Genus: Modularity and BPS States

High Energy Physics - Theory 2009-09-17 v1

Abstract

The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By holomorphy and modular invariance, it can be determined completely from the knowledge of a finite set of such BPS states. We show the feasibility of such a computation and determine the exact modified elliptic genus for an M5-brane wrapping a hyperplane section of the quintic threefold.

Cite

@article{arxiv.hep-th/0607010,
  title  = {The M5-Brane Elliptic Genus: Modularity and BPS States},
  author = {Davide Gaiotto and Andrew Strominger and Xi Yin},
  journal= {arXiv preprint arXiv:hep-th/0607010},
  year   = {2009}
}

Comments

21 pages

R2 v1 2026-07-22T15:37:05.080Z