Effective gravitational couplings of four-dimensional N = 2 supersymmetric gauge theories

Jan Manschot, Gregory W. Moore, Xinyu Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The low energy effective couplings of a four-dimensional N = 2 supersymmetric gauge theory to topological invariants of the background gravitational field are described by two functions A and B. These two functions play an important role in the study of topo- logically twisted four-dimensional N = 2 supersymmetric gauge theories and in the computation of central charges of N = 2 superconformal theories. In this paper, we compute A and B from the partition function in the Ω-background for SU(2) gauge theories. Our results not only confirm the predicted expressions of the effective gravitational couplings, but also give the previously undetermined overall multiplicative factors. We also analyze A and B for the SU(N) super-Yang-Mills theory, and confirm all the previous predictions.

Original languageEnglish (US)
Article number150
JournalJournal of High Energy Physics
Volume2020
Issue number6
DOIs
StatePublished - Jun 1 2020

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • Extended Supersymmetry
  • Nonperturbative Effects
  • Supersymmetric Gauge Theory
  • Topological Field Theories

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