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Tests of Seiberg-like Duality in Three Dimensions
Anton Kapustin, Brian Willett, Itamar Yaakov
We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition fun…
Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Anton Kapustin, Natalia Saulina
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory. We show that a surface operator gives rise to a consistent gl…
Geometry of Topological Defects of Two-dimensional Sigma Models
Anton Kapustin, Kevin Setter
A topological defect separating a pair of two-dimensional CFTs is a codimension one interface along which all components of the stress-energy tensor glue continuously. We study top…
Topological boundary conditions in abelian Chern-Simons theory
Anton Kapustin, Natalia Saulina
We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From a mathematical point of view, their relationships are d…
Supersymmetry enhancement by monopole operators
Denis Bashkirov, Anton Kapustin
We describe a method which allows one to study hidden symmetries in a large class of strongly coupled supersymmetric gauge theories in three dimensions. We apply this method to the…
Topological Field Theory, Higher Categories, and Their Applications
Anton Kapustin
It has been common wisdom among mathematicians that Extended Topological Field Theory in dimensions higher than two is naturally formulated in terms of n-categories with n> 1. Rece…