skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Analytic continuation of dimensions in supersymmetric localization

Abstract

We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d ≤ 3. The results are valid for non-integer d as well. We further propose an analytic continuation from d = 3 to d = 4 that gives the perturbative partition function for an N =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N = 1 gauge theories. We also consider the analytic continuation of an N = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N = 1* super Yang-Mills. We find that the general structure for the real part of the free energy coming from the analytic continuation is consistent with the holographic results.

Authors:
 [1];  [1];  [2]
  1. Uppsala Univ. (Sweden). Dept. of Physics and Astronomy
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Publication Date:
Research Org.:
Massachusetts Institute of Technology, Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1498698
Grant/Contract Number:  
SC0012567
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Extended Supersymmetry; Matrix Models; Supersymmetric Gauge Theory

Citation Formats

Gorantis, Anastasios, Minahan, Joseph A., and Naseer, Usman. Analytic continuation of dimensions in supersymmetric localization. United States: N. p., 2018. Web. doi:10.1007/jhep02(2018)070.
Gorantis, Anastasios, Minahan, Joseph A., & Naseer, Usman. Analytic continuation of dimensions in supersymmetric localization. United States. doi:10.1007/jhep02(2018)070.
Gorantis, Anastasios, Minahan, Joseph A., and Naseer, Usman. Mon . "Analytic continuation of dimensions in supersymmetric localization". United States. doi:10.1007/jhep02(2018)070. https://www.osti.gov/servlets/purl/1498698.
@article{osti_1498698,
title = {Analytic continuation of dimensions in supersymmetric localization},
author = {Gorantis, Anastasios and Minahan, Joseph A. and Naseer, Usman},
abstractNote = {We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d ≤ 3. The results are valid for non-integer d as well. We further propose an analytic continuation from d = 3 to d = 4 that gives the perturbative partition function for an N =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N = 1 gauge theories. We also consider the analytic continuation of an N = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N = 1* super Yang-Mills. We find that the general structure for the real part of the free energy coming from the analytic continuation is consistent with the holographic results.},
doi = {10.1007/jhep02(2018)070},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share: