PIRSA:13080044

Orbifold partition function and their phases

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}}
          }

Daisuke Yokoyama

Seoul National University

Talk number
PIRSA:13080044
Collection
Talk Type
Subject
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.