Connecting localization and wall-crossing via D-branes

Connecting localization and wall-crossing via D-branes

We demonstrate explicitly that the vacuum expectation values (vevs) of BPS line operators in 4d N=2 super Yang–Mills theory compactified on a circle, computed by localization techniques, can be expanded in terms of Darboux coordinates as proposed by Gaiotto, Moore, and Neitzke [1]. However, we need...

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Main Authors: Chih-Kai Chang, Heng-Yu Chen, Dharmesh Jain, Norton Lee
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318301354
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spelling doaj-58858d80162d4c7ca2ef01c5e155cf1c2020-11-24T22:56:22ZengElsevierNuclear Physics B0550-32132018-07-01932298322Connecting localization and wall-crossing via D-branesChih-Kai Chang0Heng-Yu Chen1Dharmesh Jain2Norton Lee3Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan; Department of Physics, University of Chicago, Chicago, IL 60637, USA11 Current address.Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, TaiwanDepartment of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan; Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India1; Corresponding author.Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan; Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11790, USA1We demonstrate explicitly that the vacuum expectation values (vevs) of BPS line operators in 4d N=2 super Yang–Mills theory compactified on a circle, computed by localization techniques, can be expanded in terms of Darboux coordinates as proposed by Gaiotto, Moore, and Neitzke [1]. However, we need to augment the expressions for Darboux coordinates with additional monopole bubbling contributions to obtain a precise match. Using D-brane realization of these singular BPS line operators, we derive and incorporate the monopole bubbling contributions as well as predict the degeneracies of framed BPS states contributing to the line operator vevs in the limit of vanishing simultaneous spatial and R-symmetry rotation fugacity parameter.http://www.sciencedirect.com/science/article/pii/S0550321318301354
collection DOAJ
language English
format Article
sources DOAJ
author Chih-Kai Chang
Heng-Yu Chen
Dharmesh Jain
Norton Lee
spellingShingle Chih-Kai Chang
Heng-Yu Chen
Dharmesh Jain
Norton Lee
Connecting localization and wall-crossing via D-branes
Nuclear Physics B
author_facet Chih-Kai Chang
Heng-Yu Chen
Dharmesh Jain
Norton Lee
author_sort Chih-Kai Chang
title Connecting localization and wall-crossing via D-branes
title_short Connecting localization and wall-crossing via D-branes
title_full Connecting localization and wall-crossing via D-branes
title_fullStr Connecting localization and wall-crossing via D-branes
title_full_unstemmed Connecting localization and wall-crossing via D-branes
title_sort connecting localization and wall-crossing via d-branes
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2018-07-01
description We demonstrate explicitly that the vacuum expectation values (vevs) of BPS line operators in 4d N=2 super Yang–Mills theory compactified on a circle, computed by localization techniques, can be expanded in terms of Darboux coordinates as proposed by Gaiotto, Moore, and Neitzke [1]. However, we need to augment the expressions for Darboux coordinates with additional monopole bubbling contributions to obtain a precise match. Using D-brane realization of these singular BPS line operators, we derive and incorporate the monopole bubbling contributions as well as predict the degeneracies of framed BPS states contributing to the line operator vevs in the limit of vanishing simultaneous spatial and R-symmetry rotation fugacity parameter.
url http://www.sciencedirect.com/science/article/pii/S0550321318301354
work_keys_str_mv AT chihkaichang connectinglocalizationandwallcrossingviadbranes
AT hengyuchen connectinglocalizationandwallcrossingviadbranes
AT dharmeshjain connectinglocalizationandwallcrossingviadbranes
AT nortonlee connectinglocalizationandwallcrossingviadbranes
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