PIRSA:13080044

Orbifold partition function and their phases

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2013},
            month = {aug},
            note = {PIRSA:13080044 see, \url{https://scivideos.org/index.php/pirsa/13080044}}
          }
          

Daisuke Yokoyama Seoul National University

Talk numberPIRSA:13080044
Source RepositoryPIRSA

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.