The topologically twisted index of $$ \mathcal{N} $$ = 4 superYangMills on T^{2} × S^{2} and the elliptic genus
Abstract
We examine the topologically twisted index of $$ \mathcal{N} $$ = 4 superYangMills with gauge group SU(N ) on T^{2} × S^{2}, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds T^{2}/$$ \mathbb{Z} $$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 KaluzaKlein reduction on S^{2}. This provides an alternate path to the ‘hightemperature’ limit of the index, and confirms the connection to the rightmoving central charge of the $$ \mathcal{N} $$ = (0, 2) theory.
 Authors:

 The Univ. of Michigan, Ann Arbor, MI (United States). Leinweber Center for Theoretical Physics, Randall Lab. of Physics
 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric Gauge Theory; AdSCFT Correspondence; Conformal Field Theory
Citation Formats
Hong, Junho, and Liu, James T. The topologically twisted index of $ \mathcal{N} $ = 4 superYangMills 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 superYangMills 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 superYangMills 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 superYangMills 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 superYangMills 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 KaluzaKlein reduction on S2. This provides an alternate path to the ‘hightemperature’ limit of the index, and confirms the connection to the rightmoving 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}
}
Web of Science
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Works referencing / citing this record:
Localization of Gauge Theory on a FourSphere and Supersymmetric Wilson Loops
journal, May 2012
 Pestun, Vasily
 Communications in Mathematical Physics, Vol. 313, Issue 1
Logarithmic corrections to entropy of magnetically charged AdS 4 black holes
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 Journal of High Energy Physics, Vol. 2004, Issue 02
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 Journal of High Energy Physics, Vol. 2004, Issue 04