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Electric-Magnetic Duality And The Geometric Langlands Program

- A. Kapustin, E. Witten
- Mathematics, Physics
- 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

847 113- PDF

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

814 108- PDF

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

421 62- PDF

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

- A. Kapustin
- Physics
- 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

262 36- PDF

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

222 31- PDF

Monopole Operators and Mirror Symmetry in Three Dimensions

- V. Borokhov, A. Kapustin, Xinkai Wu
- Physics
- 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

193 31- PDF

On Mirror Symmetry in Three Dimensional Abelian Gauge Theories

- A. Kapustin, M. Strassler
- Physics
- 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

256 30- PDF

Nonperturbative tests of three-dimensional dualities

- A. Kapustin, Brian Willett, Itamar Yaakov
- Physics
- 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

228 25- PDF

Fermionic symmetry protected topological phases and cobordisms

- A. Kapustin, Ryan Thorngren, Alex Turzillo, Z. 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

188 20- PDF

Theta, time reversal and temperature

- D. Gaiotto, A. Kapustin, Z. Komargodski, N. Seiberg
- Physics
- 1 March 2017

A bstractSU(N ) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly… Expand

172 18- PDF

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