A. Gorsky

Duality in integrable systems and gauge theories

We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.

From Yang-Mills lagrangian to MHV diagrams

We prove the equivalence of a recently suggested MHV-formalism to the standard Yang-Mills theory. This is achieved by a formally non-local change of variables. In this note we present the explicit formulas while the detailed proofs are postponed to a future publication.

More on the tensorial central charges in N=1 supersymmetric gauge theories: BPS wall junctions and strings

We study the central extensions of the N=1 superalgebras relevant to the soliton solutions with the axial geometry--strings, wall junctions, etc. A general expression valid in any four-dimensional gauge theory is obtained. We prove that the only gauge theory admitting BPS strings at weak coupling is supersymmetric electrodynamics with the Fayet-Iliopoulos term. The problem of the ambiguity of the (1/2,1/2) central charge in the generalized Wess-Zumino models and gauge theories with matter is addressed and solved. A possibility of existence of the BPS strings at strong coupling in N=2 theories is discussed. A representation of different strings within the brane picture is presented. (c) 2000 The American Physical Society.

On the Chiral Magnetic Effect in Soft-Wall AdS/QCD

The essence of the chiral magnetic effect is generation of an electric current along an external magnetic field. Recently it has been studied by Rebhan et al. within the Sakai–Sugimoto model, where it was shown to be zero. As an alternative, we calculate the chiral magnetic effect in soft-wall AdS/QCD and find a non-zero result with the natural boundary conditions. The mechanism of the dynamical neutralization of the chiral chemical potential via the string production is discussed in the dual two-form representation.

BPS states in omega background and integrability

A bstractWe reconsider string and domain wall central charges in

Spectral degeneracy in supersymmetric gluodynamics and one-flavor QCD related to N=1/2 supersymmetry

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Higgs and Coulomb/confining phases in 'twisted-mass' deformed CP(N-1) model

= 2 supersymmetric gauge theories in four dimensions in presence of the Omega background in the Nekrasov-Shatashvili (NS) limit. Existence of these charges entails presence of the corresponding topological defects in the theory — vortices and domain walls. In spirit of the 4d/2d duality we discuss the worldsheet low energy effective theory living on the BPS vortex in

SpontaneousZ2symmetry breaking in the orbifold daughter ofN=1super-Yang-Mills theory, fractional domain walls and vacuum structure

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Confined Magnetic Monopoles in Dense QCD

=2 Supersymmetric Quantum Chromodynamics (SQCD). We discuss some aspects of the brane realization of the dualities between various quantum integrable models. A chain of such dualities enables us to check the AGT correspondence in the NS limit.

Low-energy theorems from holography

In supersymmetric gluodynamics (N=1 super-Yang-Mills theory), we show that the spectral functions induced by the nonchiral operator Tr(G{sub {alpha}}{sub {beta}}{lambda}{sup 2}) are fully degenerate in the J{sup PC}=1{sup {+-}}{sup -} channels. The above operator is related to N=1/2 generalization of SUSY. Using the planar equivalence, this translates into the statement of degeneracy between the mesons produced from the vacuum by the operators ({psi}E{yields}{psi}+i{psi}B{yields}{gamma}{sup 5}{psi}) and ({psi}B{yields}{psi}-i{psi}E{yields}{gamma}{sup 5}{psi}) in one-flavor QCD, up to 1/N corrections. Here {psi} is the quark field, and E{yields},B{yields} are chromoelectric/chromomagnetic fields, respectively.