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9 papers · 2 filters
Generalized Kazakov-Migdal-Kontsevich Model: group theory aspects
S. Kharchev, A. Marshakov, A. Mironov +1
The Kazakov-Migdal model, if considered as a functional of external fields, can be always represented as an expansion over characters of group. The integration over "matter fi…
On the Infrared Limit of Two Dimensional QCD
A. J. Niemi, P. Pasanen
We study the infrared limit of two dimensional QCD, with massless dynamical Dirac fermions that are in the fundamental representation of the gauge group. We find that the theory re…
Symplectic structure of the moduli space of flat connections on a Riemann surface
A. Yu. Alekseev, A. Z. Malkin
We consider canonical symplectic structure on the moduli space of flat ${\g}$-connections on a Riemann surface of genus with marked points. For ${\g}$ being a semisimple Li…
Symplectic Geometry of Supersymmetry and Nonlinear Sigma Model
Kaupo Palo
Recently it has been argued, that Poincaré supersymmetric field theories admit an underlying loop space hamiltonian (symplectic) structure. Here shall establish this at the level o…
On Quantum Integrability and the Lefschetz Number
A. J. Niemi, K. Palo
Certain phase space path integrals can be evaluated exactly using equivariant cohomology and localization in the canonical loop space. Here we extend this to a general class of mod…
Hamiltonian systems of Calogero type and two dimensional Yang-Mills theory
A. Gorsky, N. Nekrasov
We obtain integral representations for the wave functions of Calogero-type systems,corresponding to the finite-dimentional Lie algebras,using exact evaluation of path integral.We g…
Ward identities and W-constraints in Generalized Kontsevich Model
A. Mikhailov
The connection is obtained between Ward identities and W-constraints in Generalized Kontsevich Model with the potential . We show that Ward identities include W-constraints…
Symplectic structures associated to Lie-Poisson groups
A. Yu. Alekseev, A. Z. Malkin
The Lie-Poisson analogues of the cotangent bundle and coadjoint orbits of a Lie group are considered. For the natural Poisson brackets the symplectic leaves in these manifolds are…
Degenerations of Sklyanin algebra and Askey-Wilson polynomials
A. S. Gorsky, A. V. Zabrodin
A new trigonometric degeneration of the Sklyanin algebra is found and the functional realization of its representations in space of polynomials in one variable is studied. A furthe…