# Exact results in discretized gauge theories

So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta

Research output: Contribution to journalArticle

3 Citations (Scopus)

### Abstract

We apply the localization technique to topologically twisted $\mathcal {N}=(2,2)$ supersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). We exactly evaluate the partition function and the vacuum expectation value (vev) of a specific $Q$-closed operator. We show that both the partition function and the vev of the operator depend only on the Euler characteristic and the area of the discretized Riemann surface and are independent of the details of the discretization. This localization technique may not only simplify the numerical analysis of supersymmetric lattice models but also connect the well defined equivariant localization to the empirical supersymmetric localization.

Original language English 033B07 Progress of Theoretical and Experimental Physics 2015 3 https://doi.org/10.1093/ptep/ptv021 Published - 2014 Nov 7

### Fingerprint

gauge theory
partitions
operators
vacuum
numerical analysis

• B01
• B16
• B27
• B34
• B83

### ASJC Scopus subject areas

• Physics and Astronomy(all)

### Cite this

Exact results in discretized gauge theories. / Matsuura, So; Misumi, Tatsuhiro; Ohta, Kazutoshi.

In: Progress of Theoretical and Experimental Physics, Vol. 2015, No. 3, 033B07, 07.11.2014.

Research output: Contribution to journalArticle

Matsuura, So ; Misumi, Tatsuhiro ; Ohta, Kazutoshi. / Exact results in discretized gauge theories. In: Progress of Theoretical and Experimental Physics. 2014 ; Vol. 2015, No. 3.
title = "Exact results in discretized gauge theories",
abstract = "We apply the localization technique to topologically twisted $\mathcal {N}=(2,2)$ supersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). We exactly evaluate the partition function and the vacuum expectation value (vev) of a specific $Q$-closed operator. We show that both the partition function and the vev of the operator depend only on the Euler characteristic and the area of the discretized Riemann surface and are independent of the details of the discretization. This localization technique may not only simplify the numerical analysis of supersymmetric lattice models but also connect the well defined equivariant localization to the empirical supersymmetric localization.",
keywords = "B01, B16, B27, B34, B83",
author = "So Matsuura and Tatsuhiro Misumi and Kazutoshi Ohta",
year = "2014",
month = "11",
day = "7",
doi = "10.1093/ptep/ptv021",
language = "English",
volume = "2015",
journal = "Progress of Theoretical and Experimental Physics",
issn = "2050-3911",
publisher = "Oxford University Press",
number = "3",

}

TY - JOUR

T1 - Exact results in discretized gauge theories

AU - Matsuura, So

AU - Misumi, Tatsuhiro

AU - Ohta, Kazutoshi

PY - 2014/11/7

Y1 - 2014/11/7

N2 - We apply the localization technique to topologically twisted $\mathcal {N}=(2,2)$ supersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). We exactly evaluate the partition function and the vacuum expectation value (vev) of a specific $Q$-closed operator. We show that both the partition function and the vev of the operator depend only on the Euler characteristic and the area of the discretized Riemann surface and are independent of the details of the discretization. This localization technique may not only simplify the numerical analysis of supersymmetric lattice models but also connect the well defined equivariant localization to the empirical supersymmetric localization.

AB - We apply the localization technique to topologically twisted $\mathcal {N}=(2,2)$ supersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). We exactly evaluate the partition function and the vacuum expectation value (vev) of a specific $Q$-closed operator. We show that both the partition function and the vev of the operator depend only on the Euler characteristic and the area of the discretized Riemann surface and are independent of the details of the discretization. This localization technique may not only simplify the numerical analysis of supersymmetric lattice models but also connect the well defined equivariant localization to the empirical supersymmetric localization.

KW - B01

KW - B16

KW - B27

KW - B34

KW - B83

UR - http://www.scopus.com/inward/record.url?scp=84928963606&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84928963606&partnerID=8YFLogxK

U2 - 10.1093/ptep/ptv021

DO - 10.1093/ptep/ptv021

M3 - Article

AN - SCOPUS:84928963606

VL - 2015

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 3

M1 - 033B07

ER -