Browsing Pure & Applied Mathematics by Title
Now showing items 207-226 of 390
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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 ... -
Nahm data and the mass of 1/4-BPS states
(American Physical Society, 2000)The mass of 1 / 4-BPS dyonic configurations in N=4 D=4 supersymmetric Yang-Mills theories is calculated within the Nahm formulation. The SU(3) example, with two massive monopoles and one massless monopole, is considered ... -
New hyper-Kaehler manifolds by fixing monopoles
(American Physical Society, 1997)The construction of new hyper-Ka?hler manifolds by taking the infinite monopole mass limit of certain Bogomol?nyi-Prasad-Sommerfield monopole moduli spaces is considered. The one-parameter family of hyper- Ka?hler manifolds ... -
New integrable system of 2dim fermions from strings on AdS(5) x S**5.
(Institute of Physics, 2006)We consider classical superstrings propagating on AdS5 ? S5 space-time. We consistently truncate the superstring equations of motion to the so-called fraktur sfraktur u(1|1) sector. By fixing the uniform gauge we show that ... -
A new multi-neuron spike-train metric
(MIT Press, 2008)The Victor-Purpura spike-train metric has recently been extended to a family of multi-neuron metrics and used to analyze spike trains recorded simultaneously from pairs of proximate neurons. The Victor- Purpura metric ... -
Non-perturbative running of the coupling from four flavour lattice QCD with staggered quarks
(2010)Using the Schrodinger functional (SF) with a single staggered fermion field we calculate the SF coupling in four-flavour QCD for a wide range of energies and lattice sizes up to L/a = 16. Preliminary results for the ... -
Non-perturbative study of QCD on a 2 + 2 anisotropic lattice
(Elsevier, 2004)We present preliminary results for the non-perturbative determination of the parameters in a 2+2 anisotropic action. The parameters are required to restore Lorentz invariance in long-distance correlators, using the ... -
Non-planar anomalous dimensions in super Yang-Mills theories
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)Conformal supersymmetric Yang--Mills theories play an important role in the gauge-gravity correspondence and, despite being highly non-physical, have been a driving force for many new approaches in more realistic theories ...