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Title: The topologically twisted index of $$ \mathcal{N} $$ = 4 super-Yang-Mills on T2 × S2 and the elliptic genus

Abstract

We examine the topologically twisted index of $$ \mathcal{N} $$ = 4 super-Yang-Mills with gauge group SU(N ) on T2 × S2, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds T2/$$ \mathbb{Z} $$m × $$ \mathbb{Z} $$n where N = mn. After summing over these sectors, the index can be expressed as the elliptic genus of a twodimensional $$ \mathcal{N} $$ = (0, 2) theory resulting from Kaluza-Klein reduction on S2. This provides an alternate path to the ‘high-temperature’ limit of the index, and confirms the connection to the right-moving central charge of the $$ \mathcal{N} $$ = (0, 2) theory.

Authors:
 [1]; ORCiD logo [2]
  1. The Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics, Randall Lab. of Physics
  2. Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics, Randall Lab. of Physics
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1506436
Grant/Contract Number:  
SC0007859
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric Gauge Theory; AdS-CFT Correspondence; Conformal Field Theory

Citation Formats

Hong, Junho, and Liu, James T. The topologically twisted index of $ \mathcal{N} $ = 4 super-Yang-Mills on T2 × S2 and the elliptic genus. United States: N. p., 2018. Web. doi:10.1007/jhep07(2018)018.
Hong, Junho, & Liu, James T. The topologically twisted index of $ \mathcal{N} $ = 4 super-Yang-Mills on T2 × S2 and the elliptic genus. United States. doi:10.1007/jhep07(2018)018.
Hong, Junho, and Liu, James T. Tue . "The topologically twisted index of $ \mathcal{N} $ = 4 super-Yang-Mills on T2 × S2 and the elliptic genus". United States. doi:10.1007/jhep07(2018)018. https://www.osti.gov/servlets/purl/1506436.
@article{osti_1506436,
title = {The topologically twisted index of $ \mathcal{N} $ = 4 super-Yang-Mills on T2 × S2 and the elliptic genus},
author = {Hong, Junho and Liu, James T.},
abstractNote = {We examine the topologically twisted index of $ \mathcal{N} $ = 4 super-Yang-Mills with gauge group SU(N ) on T2 × S2, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds T2/$ \mathbb{Z} $m × $ \mathbb{Z} $n where N = mn. After summing over these sectors, the index can be expressed as the elliptic genus of a twodimensional $ \mathcal{N} $ = (0, 2) theory resulting from Kaluza-Klein reduction on S2. This provides an alternate path to the ‘high-temperature’ limit of the index, and confirms the connection to the right-moving central charge of the $ \mathcal{N} $ = (0, 2) theory.},
doi = {10.1007/jhep07(2018)018},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2018,
place = {United States},
year = {2018},
month = {7}
}

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    Works referencing / citing this record:

    Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
    journal, May 2012


    Logarithmic corrections to entropy of magnetically charged AdS 4 black holes
    journal, November 2017


    𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
    journal, October 2008


    Supersymmetric AdS 5 black holes
    journal, February 2004


    General supersymmetric AdS 5 black holes
    journal, April 2004