Walls, lines, and spectral dualities in 3d gauge theories

A bstract In this paper we analyze various half-BPS defects in a general three dimensional = 2 supersymmetric gauge theory . 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 st...

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Veröffentlicht in:The journal of high energy physics 2014-05, Vol.2014 (5), p.1-52, Article 47
Hauptverfasser: Gadde, Abhijit, Gukov, Sergei, Putrov, Pavel
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Gukov, Sergei
Putrov, Pavel
description A bstract In this paper we analyze various half-BPS defects in a general three dimensional = 2 supersymmetric gauge theory . 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 and its SL(2, ) 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 = 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.
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subjects Classical and Quantum Gravitation
Complement
Defects
Elementary Particles
Gauge theory
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Spectra
String Theory
Three dimensional
Transforms
Walls
title Walls, lines, and spectral dualities in 3d gauge theories
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