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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128 Citations
Highly Influential Citations
18
Background Citations
72
Methods Citations
22
Results Citations
1

128 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…
On three dimensional quiver gauge theories and integrability
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…
TBA for non-perturbative moduli spaces
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
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 $\mathfrak{sl}_{2}$ $XXX$…
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…
Contents 1 Gluing Gauge Theories across Dimensions 2
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…
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…
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References

SHOWING 1-10 OF 89 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…
Equivalence of two-dimensional QCD and the C = 1 matrix model
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…
Multiscale N=2 SUSY field theories, integrable systems and their stringy/brane origin -- I
Topological-anti-topological fusion
MULTISCALE N = 2 SUSY FIELD THEORIES, INTEGRABLE SYSTEMS AND THEIR STRINGY/BRANE ORIGIN
Issues in topological gauge theory
The Bethe-ansatz for N = 4 super Yang-Mills
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
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