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Electric-Magnetic Duality And The Geometric Langlands Program

- A. Kapustin, E. Witten
- Mathematics
- 21 April 2006

The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are… Expand

Exact results for Wilson loops in superconformal Chern-Simons theories with matter

- A. Kapustin, Brian Willett, Itamar Yaakov
- Physics
- 24 September 2009

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model.… Expand

Generalized global symmetries

- D. Gaiotto, A. Kapustin, N. Seiberg, Brian Willett
- Physics
- 16 December 2014

A bstractA q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. Wilson lines, surface defects, etc., and the charged excitations have q… Expand

Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality

- A. Kapustin
- Mathematics
- 4 January 2005

We study operators in four-dimensional gauge theories which are localized on a straight line, create electric and magnetic flux, and in the UV limit break the conformal invariance in the minimal… Expand

On Mirror Symmetry in Three Dimensional Abelian Gauge Theories

- A. Kapustin, M. Strassler
- Physics, Mathematics
- 3 February 1999

We present an identity relating the partition function of N = 4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of… Expand

Coupling a QFT to a TQFT and duality

- A. Kapustin, N. Seiberg
- Mathematics
- 3 January 2014

A bstractWe consider coupling an ordinary quantum field theory with an infinite number of degrees of freedom to a topological field theory. On $ \mathbb{R} $d the new theory differs from the original… Expand

Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry

- K. Hori, A. Kapustin
- Physics
- 24 April 2001

We prove the equivalence of the SL(2, R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of… Expand

Monopole Operators and Mirror Symmetry in Three Dimensions

- V. Borokhov, A. Kapustin, Xinkai Wu
- Physics, Mathematics
- 9 July 2002

We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N = 2 and N = 4 supersymmetric QEDs in three dimensions. Using large-Nf expansion, we construct monopole… Expand

Nonperturbative tests of three-dimensional dualities

- A. Kapustin, Brian Willett, Itamar Yaakov
- Physics, Mathematics
- 29 March 2010

We test several conjectural dualities between strongly coupled superconformal field theories in three dimensions by computing their exact partition functions on a three sphere as a function of… Expand

Fermionic symmetry protected topological phases and cobordisms

- A. Kapustin, Ryan Thorngren, Alex Turzillo, Zitao Wang
- Physics
- 27 June 2014

A bstractIt has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with… Expand

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