Gadde, Abhijit and Gukov, Sergei and Putrov, Pavel
(2014)
Walls, lines, and spectral dualities in 3d gauge theories.
Journal of High Energy Physics, 2014
(5).
Art. No. 47.
ISSN 1126-6708.
doi:10.1007/JHEP05(2014)047.
https://resolver.caltech.edu/CaltechAUTHORS:20140716-113255164
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20140716-113255164
Abstract
In this paper we analyze various half-BPS defects in a general three dimensional N = 2 supersymmetric gauge theory T. They correspond to closed paths in SUSY parameter space and their tension is computed by evaluating period integrals along these paths. In addition to such defects, we also study wall defects that interpolate between
T and its SL(2,Z) transform by coupling the 3d theory to a 4d theory with S-duality wall. We propose a novel spectral duality between 3d gauge theories and integrable systems. This duality complements a similar duality discovered by Nekrasov and Shatashvili. As
another application, for 3d N = 2 theories associated with knots and 3-manifolds we compute periods of (super)A-polynomial curves and relate the results with the spectrum of
domain walls and line operators.
Item Type: | Article |
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Additional Information: | Open Access © The Authors. Article funded by SCOAP3.
Received: February 15, 2014
Accepted: April 12, 2014
Published: May 12, 2014.
We thank C. Beem, A. Bytsko, T. Dimofte, A. Gorsky, S. Nawata, N. Nekrasov,
S. Shatashvili, P. Su lkowski, R. van der Veen for useful discussions on related topics. The
work of A.G. is supported in part by the John A. McCone fellowship and by DOE Grant DE-FG02-92-ER40701. The work of S.G. is supported in part by DOE Grant DE-FG03-92-ER40701FG-02 and in part by NSF Grant PHY-0757647. The work of P.P. is supported in part by the Sherman Fairchild scholarship and by NSF Grant PHY-1050729. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the
views of funding agencies. |
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Group: | Caltech Theory |
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Funders: | Funding Agency | Grant Number |
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Department of Energy (DOE) | DE-FG03-92-ER40701FG-02 | NSF | PHY-0757647 | Sherman Fairchild Foundation | UNSPECIFIED | NSF | PHY-1050729 | John A. McCone Fellowship | UNSPECIFIED |
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Non-Subject Keywords: | Supersymmetric gauge theory, Solitons Monopoles and Instantons, Integrable
Equations in Physics, Brane Dynamics in Gauge Theories |
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Other Numbering System: | Other Numbering System Name | Other Numbering System ID |
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CALT | 68-2905 |
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Issue or Number: | 5 |
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DOI: | 10.1007/JHEP05(2014)047 |
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Record Number: | CaltechAUTHORS:20140716-113255164 |
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Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140716-113255164 |
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Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
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ID Code: | 47267 |
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Collection: | CaltechAUTHORS |
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Deposited By: |
Joy Painter
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Deposited On: | 16 Jul 2014 23:20 |
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Last Modified: | 10 Nov 2021 17:37 |
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