School of Mathematics: Recent submissions
Now showing items 221-240 of 393
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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 ... -
Spinning strings in AdS(5) x S**5 and integrable systems
(Elsevier, 2003)We show that solitonic solutions of the classical string action on the AdS5 ? S5 background that carry charges (spins) of the Cartan subalgebra of the global symmetry group can be classified in terms of periodic solutions ... -
Precision Spectroscopy of AdS/CFT
(Institute of Physics, 2003)We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS5 ? S5 and the scaling weights of the corresponding non-near-BPS operators in planar = 4 supersymmetric ... -
Bethe ansatz for quantum strings
(Institute of Physics, 2004)We propose Bethe equations for the diagonalization of the hamiltonian of quantum strings on AdS 5 ? S 5 at large string tension and restricted to certain large charge states from a closed (2) subsector. The ansatz differs ... -
On one-loop correction to energy of spinning strings in S(5)
(American Physical Society, 2005)We revisit the computation of the 1-loop AdS5?S5 superstring sigma model correction to the energy of a closed circular string rotating in S5. The string is spinning around its center of mass with two equal angular momenta ... -
Integrable Hamiltonian for Classical Strings on AdS(5) x S**5
(Institute of Physics, 2005)We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by ... -
Scalar quartic couplings in type IIB supergravity on AdS(5) x S(5)
(2000)All quartic couplings of scalar fields sI that are dual to extended chiral primary operators in N = 4 SYM4 are derived by using the covariant equations of motion for type IIB supergravity on AdS5 ? S5. It is shown that ...
