Browsing Pure & Applied Mathematics by Title
Now showing items 197-216 of 390
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Lax pair for strings in Lunin-Maldacena background.
(2005)Recently Lunin andMaldacena used an SL(3,R) transformation of the AdS5?S5 background to generate a supergravity solution dual to a so-called -deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality ... -
Lie group structures on automorphism groups of real-analytic CR manifolds
(The Johns Hopkins University Press, 2008)Given any real-analytic CR manifold M, we provide general conditions on M guar- anteeing that the group of all its global real-analytic CR automorphisms AutCR(M) is a Lie group (in an appropriate topology). In particular, ... -
Logarithmic asymptotics in Queueing Theory and Risk Theory
(Trinity College (Dublin, Ireland). School of Mathematics, 2000)This thesis addresses four distinct, but related, problems. All four involve large deviation theory. The first problem is to relate the logarithmic asymptotics of the single server queue length distribution to the long ... -
Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT.
(Elsevier, 2007)We compute 1-loop correction E1 to the energy of folded string in AdS5?S5 (carrying spin S in AdS5 and momentum J in S5) using a ?long string? approximation in which Smuch greater-thanJmuch greater-than1. According to the ... -
Matrix models, quantum gravity and the spectral dimension
(Proceedings of Science, 2005)Monte Carlo studies on non-perturbative 2D Euclidean Quantum Gravity can be done with the use of the Dynamical Triangulations method. The Monte Carlo moves defined within the dynamical triangulation method can be encompassed ... -
Measuring the aspect ratio renormalization of anisotropic-lattice gluons
(American Physical Society, 2001)Using tadpole-improved actions we investigate the consistency between different methods of measuring the aspect ratio renormalization of anisotropic-lattice gluons for bare aspect ratios x054,6,10 and inverse lattice spacing ... -
Melting of P wave bottomonium states in the quark-gluon plasma from lattice NRQCD
(2013)We study the fate of P wave bottomonium states in the quark-gluon plasma, using a spectral function analysis of euclidean lattice cor relators. The correlators are obtained from lattice QCD simulations with two ... -
Mesons at high temperature in Nf = 2 QCD
(American Physical Society, 2006)We report first results for spectral functions of charmonium in 2-flavour QCD. The spectral functions are determined from vector and pseudoscalar correlators on a dynamical, anisotropic lattice. J/ and c are found ... -
Methods for calculating option prices with early-exercise features
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)In this dissertation we deal with two distinct methods for pricing financial options with early-exercise features. First we use finite difference methods to calculate the prices, examining in particular two new schemes ... -
Methods of ascent and descent in multivariable spectral theory
(Trinity College (Dublin, Ireland). School of Mathematics, 2009)In this dissertation the theory of ascent and descent for a linear operator acting on a vector space is extended to arbitrary sets of operators and applied to the study of joint spectra for finite commuting systems of bounded ... -
A metric space approach to the information capacity of spike trains
(2010)Classical information theory can be either discrete or continuous, corresponding to discrete or continuous random variables. However, although spike times in a spike train are described by continuous variables, the ... -
Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)In this dissertation we present new results in the field of topologically twisted gauge theories evaluated on compact four-manifolds without boundary. We focus on the Donaldson-Witten theory, that is the N = 2 topologically ... -
Modularity in Supersymmetric Gauge Theory
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)In this thesis, we study the modularity and duality of Coulomb branches for a class of four-dimensional N=2 supersymmetric gauge theories. For pure N=2 super Yang-Mills theory with gauge group SU(2), the Coulomb branch can ... -
Multi-hadron operators with all-to-all quark propagators
(2008)Hadron spectroscopy on dynamical configurations are faced with the difficulties of dealing with the mixing of single particle states and multi-hadron states (for large spatial volumes and light dynamical quarksmasses). ... -
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 ... -
Multicloud solutions with massless and massive monopoles.
(American Physical Society, 2002)Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding ... -
Multidimensional second order generalised stochastic processes on locally compact Abelian groups
(Trinity College (Dublin, Ireland). School of Mathematics, 2004)This thesis is concerned with the harmonic analysis of multidimensional generalised stochastic processes on locally compact Abelian groups. A multidimensional generalised stochastic process is a continuous linear operator ... -
Multiple D3-instantons and mock modular forms II
(2017)We analyze the modular properties of D3-brane instanton correct ions to the hy- permultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for ... -
Multiple molecular dynamics time-scales in Hybrid Monte Carlo fermion simulations
(Elsevier, 2003)A scheme for separating the high- and low-frequency molecular dynamics modes in Hybrid Monte Carlo (HMC) simulations of gauge theories with dynamical fermions is presented. The algorithm is tested in the Schwinger model ...
