Browsing Pure & Applied Mathematics by Title
Now showing items 177-196 of 390
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Indefinite theta series and generalised error functions
(2018)Theta series for lattices with indefinite signature ( n + ,n − ) arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their mod- ular properties are well understood ... -
Instanton vibrations of the 3-Skyrmion
(American Physical Society, 1999)The Atiyah-Drinfeld-Hitchin-Manin matrix corresponding to a tetrahedrally symmetric 3-instanton is calculated. Some small variations of the matrix correspond to vibrations of the instanton-generated 3-Skyrmion. These ... -
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 ... -
Integrable lattice models for strongly correlated electrons
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)This thesis is dedicated to the study of a new family of integrable lattice models for strongly correlated electrons, namely the Hubbard- Shastry models. The techniques of exactly solvable models, and in particular those ... -
Integrable systems, separation of variables and the Yang-Baxter equation
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2021)This thesis is based on the author’s publications during the course of his PhD studies and focuses on various aspects of the field of quantum integrable systems. The aim of this thesis is to develop the so-called separation ... -
Interferometry and non-equilibrium noise in the fractional quantum Hall effect
(Trinity College (Dublin, Ireland). School of Mathematics, 2014)We study theoretical aspects of fractional quantum Hall devices based on tunnelling point contacts. The fractional quantum Hall effect is the prime example of a (2 + 1) dimensional system with non-trivial topological order. ... -
Intersection cohomology of moduli spaces of sheaves on surfaces
(2018)We study intersection cohomology of moduli spaces of semist able vector bundles on a complex algebraic surface. Our main result relates inte rsection Poincar ́e polynomials of the moduli spaces to Donaldson-Thomas ... -
Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold
(IOP, 1996)We consider 3-monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah?Hitchin submanifold of the 3-monopole moduli space. This allows what is known about 2-monopole ... -
Isoscalar meson spectroscopy from lattice QCD
(2011)We extract to high statistical precision an excited spectrum of single-particle isoscalar mesons using lattice QCD, including states of high spin and, for the first time, light exotic J(PC) isoscalars. The use of a novel ... -
Jordan systems, bounded symmetric domains and associated group orbits with holomorphic and CR extension theory
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)The first chapter will deal with the one to one correspondence between the positive hermitian Jordan triple systems and the bounded symmetric domains. We start by defining the various Jordan systems. Then we continue by ... -
Konishi operator at intermediate coupling.
(2011)TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling 2046. The data obtained ... -
Krylov subspaces from bilinear representations of nonlinear systems
(Emerald, 2007)For efficient simulation of state-of-the-art dynamical systems as arise in all aspects of engineering, the development of reduced-order models is of paramount importance. While linear reduction techniques have received ... -
Large scale parallel network simulation
(Trinity College (Dublin, Ireland). School of Mathematics, 2004)Simulation is one of the primary tools used in studying computer networks. However the difficulties of simulating a network grow with its size. With the hardware resources currently available it is not feasible to simulate ... -
Lattice determinations of the strange quark mass
(University of Chicago, 1999)The importance of the strange quark mass, as a fundamental parameter of the Standard Model (SM) and as an input to many interesting quantities, has been highlighted in many reviews, eg in Ref . A first principles calculation ... -
Lattice QCD calculation of anti-B --> D lepton anti-neutrino decay form-factors at zero recoil
(2008-10-09)A lattice QCD calculation of the B? ?Dl?? decay form factors is presented. We obtain the value of the form factor h+(w) at the zero-recoil limit w=1 with high precision by considering a ratio of correlation functions in ...