Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index
Abstract We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equations we evaluate the superconformal index in the large N limit...
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)088 |
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doaj-232eac2ce95c4a5b995cf5439cdd43682020-11-25T03:30:12ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020312410.1007/JHEP03(2020)088Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal indexAlfredo González Lezcano0Leopoldo A. Pando Zayas1SISSA International School for Advanced StudiesThe Abdus Salam International Centre for Theoretical PhysicsAbstract We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equations we evaluate the superconformal index in the large N limit, thus avoiding to take any Cardy-like limit. We present explicit results for theories arising as a stack of N D3 branes at the tip of toric Calabi-Yau cones: the conifold theory, the suspended pinch point gauge theory, the first del Pezzo theory and Y p,q quiver gauge theories. For a suitable choice of the chemical potentials of the theory we find agreement with predictions made for the same theories in the Cardy-like limit. However, for other regions of the domain of chemical potentials the superconformal index is modified and consequently the associated black hole entropy receives corrections. We work out explicitly the simple case of the conifold theory.http://link.springer.com/article/10.1007/JHEP03(2020)088AdS-CFT CorrespondenceBlack Holes in String TheorySupersymmetric Gauge Theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Alfredo González Lezcano Leopoldo A. Pando Zayas |
spellingShingle |
Alfredo González Lezcano Leopoldo A. Pando Zayas Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory Supersymmetric Gauge Theory |
author_facet |
Alfredo González Lezcano Leopoldo A. Pando Zayas |
author_sort |
Alfredo González Lezcano |
title |
Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index |
title_short |
Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index |
title_full |
Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index |
title_fullStr |
Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index |
title_full_unstemmed |
Microstate counting via Bethe Ansätze in the 4d N $$ \mathcal{N} $$ = 1 superconformal index |
title_sort |
microstate counting via bethe ansätze in the 4d n $$ \mathcal{n} $$ = 1 superconformal index |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-03-01 |
description |
Abstract We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equations we evaluate the superconformal index in the large N limit, thus avoiding to take any Cardy-like limit. We present explicit results for theories arising as a stack of N D3 branes at the tip of toric Calabi-Yau cones: the conifold theory, the suspended pinch point gauge theory, the first del Pezzo theory and Y p,q quiver gauge theories. For a suitable choice of the chemical potentials of the theory we find agreement with predictions made for the same theories in the Cardy-like limit. However, for other regions of the domain of chemical potentials the superconformal index is modified and consequently the associated black hole entropy receives corrections. We work out explicitly the simple case of the conifold theory. |
topic |
AdS-CFT Correspondence Black Holes in String Theory Supersymmetric Gauge Theory |
url |
http://link.springer.com/article/10.1007/JHEP03(2020)088 |
work_keys_str_mv |
AT alfredogonzalezlezcano microstatecountingviabetheansatzeinthe4dnmathcaln1superconformalindex AT leopoldoapandozayas microstatecountingviabetheansatzeinthe4dnmathcaln1superconformalindex |
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1724576904763146240 |