# Supersymmetric vacua and Bethe ansatz

@inproceedings{ANekrasov2009SupersymmetricVA,
title={Supersymmetric vacua and Bethe ansatz},
author={Nikita A.Nekrasov and Samson L.Shatashvili},
year={2009}
}
• Published 29 January 2009
• Physics, Mathematics
128 Citations
Quantum Integrability and Supersymmetric Vacua
• Physics, Mathematics
• 2009
Supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be in one-to-one correspon- dence with the eigenstates of
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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
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Recently, an exact description of instanton corrections to the moduli spaces of 4d N = 2 supersymmetric gauge theories compactified on a circle and Calabi-Yau compactifications of Type II superstring
Quantum Spin Systems and Supersymmetric Gauge Theories, I
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The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the $N$ site $\mathfrak{sl}_{2}$ $XXX$
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In gauge theories on a spacetime equipped with a circle, the holonomy variables, living in the Cartan torus, play special roles. With their periodic nature properly taken into account, we find that a
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The aim of this memoir for “Habilitation à Diriger des Recherches” is to present quantum geometric and algebraic aspects of supersymmetric gauge theory, which emerge from non-perturbative nature of

## References

SHOWING 1-10 OF 89 REFERENCES
Quantum Integrability and Supersymmetric Vacua
• Physics, Mathematics
• 2009
Supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be in one-to-one correspon- dence with the eigenstates of
Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• Physics
• 2002
Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary
Topological-anti-topological fusion
• Mathematics, Physics
• 1991
The Bethe-ansatz for N = 4 super Yang-Mills
• Mathematics, Physics
• 2002
We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector