English

Mock modularity and a secondary elliptic genus

High Energy Physics - Theory 2019-04-12 v1 K-Theory and Homology

Abstract

The theory of Topological Modular Forms suggests the existence of deformation invariants for two-dimensional supersymmetric field theories that are more refined than the standard elliptic genus. In this note we give a physical definition of some of these invariants. The theory of mock modular forms makes a surprise appearance, shedding light on the integrality properties of some well-known examples.

Keywords

Cite

@article{arxiv.1904.05788,
  title  = {Mock modularity and a secondary elliptic genus},
  author = {Davide Gaiotto and Theo Johnson-Freyd},
  journal= {arXiv preprint arXiv:1904.05788},
  year   = {2019}
}

Comments

35 pages

R2 v1 2026-06-23T08:36:56.627Z