Browsing Pure & Applied Mathematics (Scholarly Publications) by Title
Now showing items 187-206 of 319
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An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory
(2011)The set-up of the QCD Schrödinger functional (SF) on the lattice with staggered quarks requires an even number of points L/a in the spatial directions, while the Euclidean time extent of the lattice, T/a, must be odd. ... -
Obituary: T. Trevor West 1938-2012
(2013) -
Obstructions to embeddability into hyperquadrics and explicit examples
(Springer, 2008)We give series of explicit examples of Levi-nondegenerate real-analytic hypersurfaces in complex spaces that are not transversally holomorphically embeddable into hyperquadrics of any dimension. For this, we construct ... -
Octahedral and dodecahedral monopoles
(IOP, 1996)It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy ... -
The Off-shell Symmetry Algebra of the Light-cone AdS(5) x S**5 Superstring
(Institute of Physics, 2007)We analyse the psu(2, 2|4) supersymmetry algebra of a superstring propagating in the AdS5 ? S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and ... -
On a problem of H. Bohr
(Societe Royale des Sciences de Liege, 1991) -
On AdS(5) x S**5 String S-matrix.
(Elsevier, 2006)Recently two interesting conjectures about the string S-matrix on AdS5?S5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum ... -
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 ... -
On Levi-flat hypersurfaces with prescribed boundary
(2010)We address the problem of existence and uniqueness of a Levi-flat hypersurface M in ?n with prescribed compact boundary S for n ? 3. The situation for n ? 3 differs sharply from the well studied case n = 2. We first establish ... -
On local CR-transformation of Levi-degenerate group orbits in compact Hermitian symmetric spaces
(European Mathematical Society, 2006) -
On Lorentz invariance and supersymmetry of four particle scattering amplitudes in S(N) R**8 orbifold sigma model
(American Physical Society, 1999)The SNR8 supersymmetric orbifold sigma model is expected to describe the Infrared limit of the matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently ... -
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 ... -
On String S-matrix, Bound States and TBA
(2007)The study of finite J effects for the light-cone AdS5 ? S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the ... -
On symmetric Cauchy-Riemann manifolds
(Elsevier, 2000)The Riemannian symmetric spaces play an important role in different branches of mathematics. By definition, a (connected) Riemannian manifold M is called symmetric if, to every a ? M, there exists an involutory isometric ... -
On the automorphism groups of algebraic bounded domains
(Springer, 1995) -
On the central Haagerup tensor product and completely bounded mappings of a C*-algebra,
(2005)We consider the natural contractive map from the central Haagerup tensor product of a unital C*-algebra A with itself to the space of completely bounded maps CB ( A ) on A. We establish the necessity of the known sufficient ... -
On the constraints defining BPS monopoles
(Springer Science and Business Media, 2000)We discuss the explicit formulation of the transcendental constraints defining spectral curves of SU.2/ BPS monopoles in the twistor approach of Hitchin, following Ercolani and Sinha. We obtain an improved version of the ... -
On the correspondence between gravity fields and CFT operators
(2000)It is shown that a nonlinear derivative-dependent transformation of gravity fields changes correlation functions in a boundary CFT, and, therefore, corresponds to a change of a basis of operators in the CFT. It is argued ... -
On the origin of supergravity boundary terms in the AdS/CFT correspondence
(Elsevier, 1999)The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based ...
