Pure & Applied Mathematics (Scholarly Publications): Recent submissions
Now showing items 141-160 of 319
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Canonical quantization of the degenerate WZ action including chiral interaction with gauge fields
(World Scientific, 1996)Canonical quantization of the Wess-Zumino (WZ) model including chiral interaction with gauge field is considered for the case of a degenerate action. The two-dimensional SU(2) Yang-Mills model and the four-dimensional ... -
Removing fermion doublers in chiral gauge theories on the lattice
(Elsevier, 1994)A method for removing fermion doublers in anomaly free chiral gauge theories on the lattice is proposed. It is proven that the resulting continuum theory is gauge invariant and does not require noninvariant counterterms ... -
SO(N) invariant Wess-Zumino action and its quantization
(Springer Verlag, 1996)A consistent quantization procedure of anomalous chiral models is discussed. It is based on a modification of the classical action by adding Wess-Zumino terms. The SO(3) invariant WZ action for the SU(3) model is constructed. ... -
Gauge invariant Hamiltonian formulation of lattice Yang-Mills theory
(World Scientific, 1995)It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge A0 = 0 one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered ... -
Hamiltonian lattice gauge models and the Heisenberg double
(World Scientific, 1995)Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary spacetime dimensions. It is shown that the corresponding generalization ... -
The centre of the graph and moduli algebras at roots of 1
(Springer Verlag, 1999)The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2) and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be endowed with the structure of the Poisson graph algebra. The ... -
Physical phase space of lattice Yang-Mills theory and the moduli space of flat connections on a Riemann surface
(Springer Verlag, 1997)It is shown that the physical phase space of -deformed Hamiltonian lattice Yang-Mills theory, which was recently proposed in refs.[1,2], coincides as a Poisson manifold with the moduli space of flat connections on a ... -
Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
(Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical r-matrix naturally appears in the construction. -
Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
(American Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars?Schneider model can be obtained from the cotangent bundle over the two-dimensional current group by means of the Hamiltonian reduction procedure. -
Quantum Dynamical R-matrices and Quantum Frobenius Group
(Springer Verlag, 1998)We propose an algebraic scheme for quantizing the rational Ruijsenaars-Schneider model in the R-matrix formalism. We introduce a special parameterization of the cotangent bundle over GL(N,C). In new variables the standard ... -
R-matrix quantization of the elliptic Ruijsenaars-Schneider model
(Springer Verlag, 1998)It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle over the centrally extended current group ... -
On Hamiltonian structure of the spin Ruijsenaars-Schneider model
(Institute of Physics, 1998)The Hamiltonian structure of spin generalization of the rational Ruijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses the current algebra symmetry. The ... -
Perturbative and instanton corrections to the OPE of CPOs in N = 4 SYM(4)
(Elsevier, 2001)We study perturbative and instanton corrections to the Operator Product Expansion of the lowest weight Chiral Primary Operators of N = 4 SYM4. We confirm the recently observed non-renormalization of various operators ... -
Tachyon condensation and universality of DBI action
(Institute of Physics, 2001)We show that a low-energy action for massless fluctuations around a tachyonic soliton background representing a codimension one D-brane coincides with the Dirac-Born-Infeld action. The scalar modes which describe transverse ... -
String corrections to the holographic RG flow of supersymmetric SU(N) x SU(N+M) gauge theory
(Elsevier, 2002)We study leading string corrections to the type IIB supergravity solution dual to the N = 1 supersymmetric SU(N + M) ? SU(N) gauge theory coupled to bifundamental chiral superfields Ai,Bj, i, j = 1, 2. This solution was ... -
R**4 corrections to conifolds and G(2)-holonomy spaces
(Elsevier, 2002)Motivated by examples that appeared in the context of string theory?gauge theory duality, we consider corrections to supergravity backgrounds induced by higher derivative (R4+cdots, three dots, centered) terms in superstring ... -
Semiclassical quantization of rotating superstring in AdS(5) x S**5
(Institute of Physics, 2002)Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in AdS5 ? S5. We start with a classical solution describing string rotating in AdS5 and boosted along ... -
Multi-spin string solutions in AdS(5) x S**5
(Elsevier, 2003)Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS5 and S5. We find a novel solution describing a ... -
Quantizing three-spin string solution in AdS(5) xS**5
(Institute of Physics, 2003)As was recently found in [3], there exists a simple classical solution describing a closed string rotating in S 5 and located at the center of AdS 5 . It is parametrized by the angular momentum J of the center of mass and ... -
Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
(Elsevier, 2003)We find the minimal energy solution describing a folded closed string located at the center of AdS5 and rotating simultaneously in two planes in S5 with two arbitrary SO(6) angular momenta J1 and J2. In the case when J1 ...
