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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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31 papers · 2 filters
Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions
Mikhail Vasiliev
We formulate a non-linear system of equations which describe higher-spin gauge interactions of massive matter fields in 2+1 dimensional space-time and explain some properties of th…
Covariance of WDVV equations
A. Mironov, A. Morozov
The (generalized) WDVV equations for the prepotentials in topological and Seiberg-Witten models are covariant with respect to non-linear transformations, described in t…
Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules
A M Semikhatov, V A Sirota
We classify and explicitly construct the embedding diagrams of Verma modules over the N=2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution…
Quantum Dirac constraints, Ward identities and path integral in relativistic gauge
A. O. Barvinsky
Quantum Dirac constraints in generic constrained system are solved by directly calculating in the one-loop approximation the path integral with relativistic gauge fixing procedure.…
Solution of quantum Dirac constraints via path integral
A. O. Barvinsky
The semiclassical solution of quantum Dirac constraints in generic constrained system is obtained by directly calculating in the one-loop approximation the gauge field path integra…
5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
A. Marshakov, A. Mironov
We discuss and supersymmetric gauge theories in the target-space with compactified directions and with the matter hypermultiplets in fundamental representations in the fr…
Gauge Invariance of QED
I. V. Tyutin, Vad. Yu. Zeitlin
The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED) is studied. It is shown that using Proca mass…
SUSY field theories, integrable systems and their stringy/brane origin -- II
A. Gorsky, S. Gukov, A. Mironov
Five and six dimensional SUSY gauge theories, with one or two compactified directions, are discussed. The 5d theories with the matter hypermultiplets in the fundamental representat…
Finite Temperature Nonlocal Effective Action for Scalar Fields
Yuri Gusev, Andrei Zelnikov
Scalar fields at finite temperature are considered in four dimensional ultrastatic curved spacetime. One loop nonlocal effective action at finite temperature is found up to the sec…
Electron-positron pair production in the Aharonov-Bohm potential
V. D. Skarzhinsky, J. Audretsch, Ulf. Jasper
In the framework of QED we evaluate the cross section for electron-positron pair production by a single photon in the presence of the external Aharonov-Bohm potential in first orde…
Scattering of scalar and Dirac particles by a magnetic tube of finite radius
V. D. Skarzhinsky, J. Audretsch
We consider the Dirac equation in cylindrically symmetric magnetic fields and find its normal modes as eigenfunctions of a complete set of commuting operators. This set consists of…
General Solution of Quantum Master Equation in Finite-Dimensional Case
I. A. Batalin, I. V. Tyutin
The general solution to the quantum master equation (and its symmetric counterpart) is constructed explicitly in case of finite number of variables. It is shown that the fi…
On the Canonical Form of a Pair of Compatible Antibrackets
M A Grigoriev, A M Semikhatov
In the triplectic quantization of general gauge theories, we prove a `triplectic' analogue of the Darboux theorem: we show that the doublet of compatible antibrackets can be brough…
Superfield Quantization
I. A. Batalin, K. Bering, P. H. Damgaard
We present a superfield formulation of the quantization program for theories with first class constraints. An exact operator formulation is given, and we show how to set up a phase…
Multiscale N=2 SUSY field theories, integrable systems and their stringy/brane origin -- I
A. Gorsky, S. Gukov, A. Mironov
We discuss supersymmetric Yang-Mills theories with the multiple scales in the brane language. The issue concerns N=2 SUSY gauge theories with massive fundamental matter including t…
Free totally (anti)symmetric massless fermionic fields in d-dimensional anti-de Sitter space
R. R. Metsaev
Free massless fermionic fields of arbitrary spins corresponding to totally (anti)symmetric tensor-spinor representations of the compact subgroup and in -dimensio…
Group analysis and renormgroup symmetries
V. F. Kovalev, V. V. Pustovalov, D. V. Shirkov
An original regular approach to constructing special type symmetries for boundary value problems, namely renormgroup symmetries, is presented. Different methods of calculating thes…
Insights and Puzzles from Branes: 4d SUSY Yang-Mills from 6d Models
A. Marshakov, M. Martellini, A. Morozov
5-branes of nontrivial topology are associated in the Diaconescu-Hanany-Witten-Witten (DHWW) approach with the Seiberg-Witten (SW) theory of low-energy effective actions. There are…
Coherent (spin-)tensor fields on D=4 anti-de Sitter space
A. Yu. Segal, A. A. Sharapov
The coherent states associated to the discrete serie representations of are constructed in terms of (spin-)tensor fields on anti-de Sitter space. For $E_…
Cubic interaction vertices for higher spin fields
R. R. Metsaev
We present results of investigation into a problem of cubic interaction vertices of massless higher spin fields which transform in arbitrary irreps of the Poincare algebra
Lagrangian formulation of irreducible massive fields of arbitrary spin in 2+1 dimensions
Igor Tyutin, Mikhail Vasiliev
Lagrangian formulation of free massive fields corresponding to irreducible representations of the Poincare group of arbitrary integer and half-integer spins in three-dimensional sp…
Second Class Constraints in a Higher-Order Lagrangian Formalism
I. A. Batalin, K. Bering, P. H. Damgaard
We consider the description of second-class constraints in a Lagrangian path integral associated with a higher-order -operator. Based on two conjugate higher-order -operators…
On Integrable Systems and Supersymmetric Gauge Theories
A. Marshakov
The properties of the N=2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integra…
The Structure of Verma Modules over the N=2 Superconformal Algebra
A M Semikhatov, I Yu Tipunin
We classify degeneration patterns of Verma modules over the N=2 superconformal algebra in two dimensions. Explicit formulae are given for singular vectors that generate maximal sub…