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Seiberg-Witten prepotential from instanton counting

- N. Nekrasov
- Geology
- 18 June 2002

Direct evaluation of the Seiberg-Witten prepotential is accomplished following the localization programme suggested in [1]. Our results agree with all low-instanton calculations available in the… Expand

Seiberg-Witten theory and random partitions

- N. Nekrasov, A. Okounkov
- Physics
- 1 June 2003

We study \( \mathcal{N} = 2 \) supersymmetric four-dimensional gauge theories, in a certain 525-02 = 2 supergravity background, called theΩ-background. The partition function of the theory in the… Expand

Quantization of Integrable Systems and Four Dimensional Gauge Theories

- N. Nekrasov, S. Shatashvili
- Physics, Mathematics
- 27 August 2009

We study four dimensional N=2 supersymmetric gauge theory in the Omega-background with the two dimensional N=2 super-Poincare invariance. We explain how this gauge theory provides the quantization of… Expand

Instantons on Noncommutative ℝ4, and (2,0) Superconformal Six Dimensional Theory

- N. Nekrasov, A. Schwarz
- Physics, Mathematics
- 11 February 1998

Abstract:We show that the resolution of moduli space of ideal instantons parameterizes the instantons on noncommutative ℝ4. This moduli space appears to be the Higgs branch of the theory of… Expand

Gromov–Witten theory and Donaldson–Thomas theory, I

- D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande
- MathematicsCompositio Mathematica
- 2 December 2003

We conjecture an equivalence between the Gromov–Witten theory of 3-folds and the holomorphic Chern–Simons theory of Donaldson and Thomas. For Calabi–Yau 3-folds, the equivalence is defined by the… Expand

On conformal field theories in four dimensions

- A. Lawrence, N. Nekrasov, C. Vafa
- Mathematics
- 2 March 1998

D-Particle Bound States and Generalized Instantons

- G. Moore, N. Nekrasov, S. Shatashvili
- Physics
- 1 April 1998

Abstract:We compute the principal contribution to the index in the supersymmetric quantum mechanical systems which are obtained by reduction to 0 + 1 dimensions of , D= 4,6,10 super-Yang–Mills… Expand

Noncommutative field theory

- M. Douglas, N. Nekrasov
- Physics
- 6 June 2001

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known… Expand

BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters

- N. Nekrasov
- Physics
- 16 December 2015

A bstractWe study symmetries of quantum field theories involving topologically distinct sectors of the field space. To exhibit these symmetries we define special gauge invariant observables, which we… Expand

Quantum foam and topological strings

- A. Iqbal, N. Nekrasov, A. Okounkov, C. Vafa
- Physics, Mathematics
- 2 December 2003

We find an interpretation of the recent connection found between topological strings on Calabi-Yau threefolds and crystal melting: Summing over statistical mechanical configuration of melting crystal… Expand

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