## 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…

Quantization of Integrable Systems and Four Dimensional Gauge Theories

- Physics, Mathematics
- 2010

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

- Mathematics, Physics
- 2013

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

- Physics
- 2011

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

- Mathematics, Physics
- 2010

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

- Physics, Mathematics
- 2020

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

- Mathematics, Physics
- 2019

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

- Mathematics, Physics
- 2017

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

- Physics
- 2018

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

- Mathematics
- 2021

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…

Multiscale N=2 SUSY field theories, integrable systems and their stringy/brane origin -- I

- Physics
- 1997

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…