107 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…
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 $\mathfrak{sl}_{2}$ $XXX$…
Superspin chains from superstring theory
- Physics
- 2021
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
- 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…
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…
3-Manifolds and 3d Indices
- Mathematics
- 2011
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…
References
SHOWING 1-10 OF 81 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
- Mathematics, Physics
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…