PIRSA:13080044 Scientific Series Quantum Fields and Strings

DOI10.48660/13080044

Series: Quantum Fields and Strings

Yokoyama, D. (2013). Orbifold partition function and their phases. Perimeter Institute. https://pirsa.org/13080044

Yokoyama, Daisuke. Orbifold partition function and their phases. Perimeter Institute, Aug. 13, 2013, https://pirsa.org/13080044 

@misc{ pirsa_PIRSA:13080044,
  doi = {10.48660/13080044},
  url = {https://pirsa.org/13080044},
  author = {Yokoyama, Daisuke},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Orbifold partition function and their phases},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {aug},
  note = {PIRSA:13080044 see, \url{https://pirsa.org}}
}

Abstract

We discuss a partition function of 3d supersymmetric gauge theories on the (p, -1) Lens space.
In 3d the partition function is directly used to check dualities though the normalization is not seriously treated, especially, the phase is usually ignored. However, when we consider the partition function on the orbifold the partition function consists of the sum of factors labeled by holonomies and their relative phases become crucial. We stress that the known formula for the partition function is incorrect and some relative phase factors are needed to identify the partition functions of dual theories.

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