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

Hong, Junho; Liu, James T.

doi:10.1007/jhep07(2018)018

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 N = 4 super-Yang-Mills 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/Zm × Zn where N = mn. After summing over these sectors, the index can be expressed as the elliptic genus of a two-dimensional N = (0, 2) theory resulting from Kaluza-Klein reduction on S 2 . 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 N = (0, 2) theory.

Authors:

Hong, Junho ^[1];

^[2]

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:: Tue Jul 03 00:00:00 EDT 2018

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1506436

Alternate Identifier(s):: OSTI ID: 1648317

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.

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                    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.  https://doi.org/10.1007/jhep07(2018)018

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                    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.  https://doi.org/10.1007/jhep07(2018)018.  https://www.osti.gov/servlets/purl/1506436.

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@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 N = 4 super-Yang-Mills 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/Zm × Zn where N = mn. After summing over these sectors, the index can be expressed as the elliptic genus of a two-dimensional N = (0, 2) theory resulting from Kaluza-Klein reduction on S 2 . 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 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         = {Tue Jul 03 00:00:00 EDT 2018},

  month        = {Tue Jul 03 00:00:00 EDT 2018}

}

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Works referenced in this record:

Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity
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Works referencing / citing this record:

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Journal of High Energy Physics, Vol. 2019, Issue 7
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journal, November 2019

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Journal of High Energy Physics, Vol. 2019, Issue 11
DOI: 10.1007/jhep11(2019)090

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

Abstract

Citation Formats

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Two-dimensional SCFTs from wrapped branes and c-extremization journal, June 2013

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General supersymmetric AdS5 black holes text, January 2004

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Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes text, January 2017

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

Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity
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Magnetic strings in five dimensional gauged supergravity theories
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General supersymmetric AdS ₅ black holes
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Black hole microstates in AdS4 from supersymmetric localization
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A topologically twisted index for three-dimensional supersymmetric theories
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The Cardy limit of the topologically twisted index and black strings in AdS5
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Rigid Supersymmetric Theories in Curved Superspace
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Supergravity description of field theories on curved manifolds and a no go theorem
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