Browsing Pure & Applied Mathematics by Title
Now showing items 243-262 of 390
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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 ... -
On the SO(N) symmetry of the chiral SU(N) Yang-Mills model
(Elsevier, 1993)The posibility of quantizing the anomalous SU(N) Yang?Mills model preserving the symmetry under the orthogonal subgroup is indicated. The corresponding Wess?Zumino action (1-cocycle) possesses the additional SO(N) symmetry ... -
On the Symanzik improvement of gradient flow observables
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)The gradient flow provides a new class of renormalised observables which can be measured with high precision in lattice simulations. This is relevant for many interesting applications. However, such applications are made ... -
Operator product expansion of the lowest weight CPOs in N = 4 SYM(4) at strong coupling
(2000)We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators OI ~ tr?(i?j) in N = 4 SYM4 at strong coupling and show that their structure is compatible with the predictions of ... -
Operator ranges and spaceability
(Elsevier, 2011)Recent contributions on spaceability have overlooked the applicability of results on operator range subspaces of Banach spaces or Frechet spaces. Here we consider general results on spaceability of the complement of an ... -
A performance study of a template C++ class for parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2020)In this thesis we investigate the performance properties of a template C++ class designed to run parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice. The generic nature of ...
