PIRSA:13100130 Scientific Series Quantum Fields and Strings

DOI10.48660/13100130

Series: Quantum Fields and Strings

Festuccia, G. (2013). The Geometry of Supersymmetric Partition Functions. Perimeter Institute. https://pirsa.org/13100130

Festuccia, Guido. The Geometry of Supersymmetric Partition Functions. Perimeter Institute, Oct. 29, 2013, https://pirsa.org/13100130 

@misc{ pirsa_PIRSA:13100130,
  doi = {10.48660/13100130},
  url = {https://pirsa.org/13100130},
  author = {Festuccia, Guido},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {The Geometry of Supersymmetric Partition Functions},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {oct},
  note = {PIRSA:13100130 see, \url{https://pirsa.org}}
}

Abstract

Three-dimensional N=2 theories with a U(1)_R symmetry, can be placed on a compact three manifold M preserving some supersymmetry if and only if M admits a transversely holomorphic foliation (THF). I will show that the partition function of the resulting theory is independent of the metric and depends holomorphically on the moduli of the THF. When applied to supersymmetric field theories on manifolds diffeomorphic to S^3 and S^2 x S^1, this result explains many of the properties observed in explicit determinations of their partition functions.

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