Supersymmetric vacua and Bethe ansatz

@inproceedings{ANekrasov2009SupersymmetricVA,
  title={Supersymmetric vacua and Bethe ansatz},
  author={Nikita A.Nekrasov and Samson L.Shatashvili},
  year={2009}
}
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107 Citations
Highly Influential Citations
12
Background Citations
57
Methods Citations
17
Results Citations
1

107 Citations

Quantum Integrability and Supersymmetric Vacua
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…
Quantization of Integrable Systems and Four Dimensional Gauge Theories
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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A bstractIn this work we compare different descriptions of the space of vacua of certain three dimensional $ \mathcal{N}=4 $ superconformal field theories, compactified on a circle and mass-deformed…
String theory of the Omega deformation
A bstractIn this article, we construct a supersymmetric real mass deformation for the adjoint chiral multiplets in the gauge theory describing the dynamics of a stack of D2-branes in type II string…
Quantum Spin Systems and Supersymmetric Gauge Theories, I
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 $\mathfrak{sl}_{2}$ $XXX$…
Superspin chains from superstring theory
We present a correspondence between two-dimensional N = (2, 2) supersymmetric gauge theories and rational integrable gl(m|n) spin chains with spin variables taking values in Verma modules. To explain…
On dimensional transmutation in 1 + 1D quantum hydrodynamics
Recently a detailed correspondence was established between, on one side, four and five-dimensional large-N supersymmetric gauge theories with $\mathcal{N}=2$ supersymmetry and adjoint matter, and, on…
Surface operators , chiral rings and localization in N = 2 gauge theories
We study half-BPS surface operators in supersymmetric gauge theories in four and five dimensions following two different approaches. In the first approach we analyze the chiral ring equations for…
Instanton Counting, Quantum Geometry and Algebra
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…
3-Manifolds and 3d Indices
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…
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References

SHOWING 1-10 OF 81 REFERENCES
Quantum Integrability and Supersymmetric Vacua
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…
Supersymmetric Yang-Mills theory and integrable systems
Chiral Rings and Anomalies in Supersymmetric Gauge Theory
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
Issues in topological gauge theory
Multiscale N=2 SUSY field theories, integrable systems and their stringy/brane origin -- I
The Bethe-Ansatz for N = 4 Super
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…
SUSY field theories, integrable systems and their stringy/brane origin -- II
Branes and N=2 theories in two dimensions
N = 2 Supersymmetric QCD and integrable spin chains: rational case Nf < 2Nc
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