Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference37 articles.
1. S.K. Ashok, N. Doroud and J. Troost, Localization and real Jacobi forms, JHEP 04 (2014) 119 [arXiv:1311.1110] [INSPIRE].
2. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral Asymmetry and Riemannian Geometry, Bull. London Math. Soc. 5 (1973) 229.
3. S.K. Ashok and J. Troost, A Twisted Non-compact Elliptic Genus, JHEP 03 (2011) 067 [arXiv:1101.1059] [INSPIRE].
4. D. Berwick-Evans, An effective field theory model for differential elliptic cohomology at the Tate curve, arXiv:1510.06464 [INSPIRE].
5. D. Berwick-Evans, How do field theories detect the torsion in topological modular forms?, arXiv:2303.09138 [INSPIRE].