Surface defects and instanton–vortex interaction

Surface defects and instanton–vortex interaction

We propose a simple formula for the 4d–2d partition function of half-BPS surface defects in d=4, N=2 gauge theories: Z4d–2d=〈Z2d〉4d. Our results are applicable for any surface defect obtained by gauging a 2d flavor symmetry using a 4d gauge group. For defects obtained via the Higgsing procedure, our...

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Main Authors: A. Gorsky, B. Le Floch, A. Milekhin, N. Sopenko
Format: Article
Language:English
Published: Elsevier 2017-07-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317301396
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spelling doaj-dd00ad4f9881493f987ef75388681cde2020-11-24T23:14:58ZengElsevierNuclear Physics B0550-32131873-15622017-07-01920C12215610.1016/j.nuclphysb.2017.04.010Surface defects and instanton–vortex interactionA. Gorsky0B. Le Floch1A. Milekhin2N. Sopenko3Institute for Information Transmission Problems of Russian Academy of Science, B. Karetnyi 19, Moscow 127051, RussiaPrinceton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USADepartment of Physics, Princeton University, Princeton, NJ 08544, USAMoscow Institute of Physics and Technology, Dolgoprudny 141700, RussiaWe propose a simple formula for the 4d–2d partition function of half-BPS surface defects in d=4, N=2 gauge theories: Z4d–2d=〈Z2d〉4d. Our results are applicable for any surface defect obtained by gauging a 2d flavor symmetry using a 4d gauge group. For defects obtained via the Higgsing procedure, our formula reproduces the recent calculation by Pan and Peelaers. For Gukov–Witten defects our results reproduce the orbifold calculation by Kanno and Tachikawa. We emphasize the role of “negative vortices” which are realized as negative D0 branes.http://www.sciencedirect.com/science/article/pii/S0550321317301396
collection DOAJ
language English
format Article
sources DOAJ
author A. Gorsky
B. Le Floch
A. Milekhin
N. Sopenko
spellingShingle A. Gorsky
B. Le Floch
A. Milekhin
N. Sopenko
Surface defects and instanton–vortex interaction
Nuclear Physics B
author_facet A. Gorsky
B. Le Floch
A. Milekhin
N. Sopenko
author_sort A. Gorsky
title Surface defects and instanton–vortex interaction
title_short Surface defects and instanton–vortex interaction
title_full Surface defects and instanton–vortex interaction
title_fullStr Surface defects and instanton–vortex interaction
title_full_unstemmed Surface defects and instanton–vortex interaction
title_sort surface defects and instanton–vortex interaction
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-07-01
description We propose a simple formula for the 4d–2d partition function of half-BPS surface defects in d=4, N=2 gauge theories: Z4d–2d=〈Z2d〉4d. Our results are applicable for any surface defect obtained by gauging a 2d flavor symmetry using a 4d gauge group. For defects obtained via the Higgsing procedure, our formula reproduces the recent calculation by Pan and Peelaers. For Gukov–Witten defects our results reproduce the orbifold calculation by Kanno and Tachikawa. We emphasize the role of “negative vortices” which are realized as negative D0 branes.
url http://www.sciencedirect.com/science/article/pii/S0550321317301396
work_keys_str_mv AT agorsky surfacedefectsandinstantonvortexinteraction
AT blefloch surfacedefectsandinstantonvortexinteraction
AT amilekhin surfacedefectsandinstantonvortexinteraction
AT nsopenko surfacedefectsandinstantonvortexinteraction
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