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Publications Influence

CFT's from Calabi–Yau four-folds

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi–Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and… Expand

1,079 77- PDF

Gauge Theory, Ramification, And The Geometric Langlands Program

In the gauge theory approach to the geometric Langlands program, ramification can be described in terms of "surface operators," which are supported on two-dimensional surfaces somewhat as Wilson or… Expand

413 56- PDF

Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry

- L. Alday, D. Gaiotto, S. Gukov, Yuji Tachikawa, H. Verlinde
- Physics
- 6 September 2009

Recently, a duality between Liouville theory and four dimensional $ \mathcal{N} = 2 $ gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theory,… Expand

331 41- PDF

3-Manifolds and 3d Indices

- T. Dimofte, D. Gaiotto, S. Gukov
- Physics, Mathematics
- 21 December 2011

We identify a large class R of three-dimensional N = 2 superconformal
field theories. This class includes the effective theories T_M of M5-branes
wrapped on 3-manifolds M, discussed in previous… Expand

250 25- PDF

Gauge Theories Labelled by Three-Manifolds

- T. Dimofte, D. Gaiotto, S. Gukov
- Physics, Mathematics
- 22 August 2011

We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional $${\mathcal{N} = 2}$$N=2 gauge theories. Under this duality, standard operations on triangulated… Expand

329 22- PDF

Solitons, superpotentials and calibrations

- S. Gukov
- Physics, Mathematics
- 3 November 1999

In this paper we study several issues related to the generation of the superpotential induced by background Ramond–Ramond fluxes in compactification of Type IIA string theory on Calabi–Yau… Expand

202 21- PDF

Vortex Counting and Lagrangian 3-Manifolds

- T. Dimofte, S. Gukov, Lotte Hollands
- Physics, Mathematics
- 4 June 2010

To every 3-manifold M one can associate a two-dimensional $${\mathcal{N}=(2, 2)}$$ supersymmetric field theory by compactifying five-dimensional $${\mathcal{N}=2}$$ super-Yang–Mills theory on M. This… Expand

289 21- PDF

The Superpolynomial for Knot Homologies

- N. Dunfield, S. Gukov, J. Rasmussen
- Mathematics, Physics
- Exp. Math.
- 30 May 2005

TLDR

243 20- PDF

Gauge theory at large N and new G2 holonomy metrics

- A. Brandhuber, J. Gomis, S. Gubser, S. Gukov
- Physics
- 4 June 2001

We find a one-parameter family of new G_2 holonomy metrics and demonstrate that it can be extended to a two-parameter family. These metrics play an important role as the supergravity dual of the… Expand

165 20- PDF

Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial

- S. Gukov
- Mathematics, Physics
- 17 June 2003

We study three-dimensional Chern-Simons theory with complex gauge group SL(2,ℂ), which has many interesting connections with three-dimensional quantum gravity and geometry of hyperbolic 3-manifolds.… Expand

228 19- PDF

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