Higgs and Coulomb branches from vertex operator algebras View Full Text


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Article Info

DATE

2019-03

AUTHORS

Kevin Costello, Thomas Creutzig, Davide Gaiotto

ABSTRACT

We formulate a conjectural relation between the category of line defects in topologically twisted 3d N = 4 supersymmetric quantum field theories and categories of modules for Vertex Operator Algebras of boundary local operators for the theories. We test the conjecture in several examples and provide some partial proofs for standard classes of gauge theories. More... »

PAGES

66

References to SciGraph publications

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  • 2019-02. Twisted compactifications of 3d N = 4 theories and conformal blocks in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2014-08. Ω-deformation and quantization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-06. Infinite Chiral Symmetry in Four Dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-09. The omega deformation, branes, integrability and Liouville theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11. Mirror symmetry and loop operators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-06. Janus configurations, Chern-Simons couplings, and The θ-Angle in super Yang-Mills theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09. The Coulomb Branch of 3d N=4 Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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