PIRSA:12020132 Scientific Series Quantum Fields and Strings

DOI10.48660/12020132

Series: Quantum Fields and Strings

Hosomichi, K. (2012). SUSY Gauge Theories on Squashed 3-spheres. Perimeter Institute. https://pirsa.org/12020132

Hosomichi, Kazuo. SUSY Gauge Theories on Squashed 3-spheres. Perimeter Institute, Feb. 28, 2012, https://pirsa.org/12020132 

@misc{ pirsa_PIRSA:12020132,
  doi = {10.48660/12020132},
  url = {https://pirsa.org/12020132},
  author = {Hosomichi, Kazuo},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {SUSY Gauge Theories on Squashed 3-spheres},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {feb},
  note = {PIRSA:12020132 see, \url{https://pirsa.org}}
}

Abstract

I will explain some recent exact developments in N=2 SUSY gauge theories on 3-sphere and its deformations. I will begin by the analysis of Killing spinors and their generalization which are necessary to construct SUSY theories on curved spaces. Then I will sketch the exact computation of partition function using SUSY localization and present a general formula. Some applications to the physics of M5-branes will also be discussed.

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