Browsing Pure & Applied Mathematics by Title
Now showing items 117136 of 373

Factorial states, upper multiplicity and norms of elementary operators
(2008)Let {pi} be an irreducible representation of a C*algebra A. We show that the weak* approximation of factorial states associated to {pi} by type I factorial states of lower degree is closely related to the value of the ... 
Factorization Conjecture and Open/Closed String Correspondence
(2005)We present evidence for the factorization of the worldshee t path integrals for 2d con formal field theories on the disk into bulk and boundary contr ibutions. This factorization is then used to reinterpret a shift ... 
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (logz)2+(logw)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... 
Finding community structures in networks by playing passtheparcel.
(2008)Many data sets can be represented by undirected networks. Often, an interesting and important feature of these networks is the existence of communities; groups of nodes whose interconnectivity is higher than the average ... 
Finite jet determination of local analytic CR automorphisms and their parametrization by 2jets in the finite type case.
(Geometric And Functional Analysis, 2003)We show that germs of local realanalytic CR automorphisms of a realanalytic hypersurface M in C2 at a point p ? M are uniquely determined by their jets of some finite order at p if and only if M is not Leviflat near ... 
Finitesize Effects from Giant Magnons.
(Elsevier, 2007)In order to analyze finitesize effects for the gaugefixed string sigma model on AdS5?S5, we construct onesoliton solutions carrying finite angular momentum J. In the infinite J limit the solutions reduce to the recently ... 
First results from 2+1 dynamical quark flavors on an anisotropic lattice: Lighthadron spectroscopy and setting the strangequark mass
(2009)We present the first lighthadron spectroscopy on a set of N f ? 2 ? 1 dynamical, anisotropic lattices. A convenient set of coordinates that parameterize the twodimensional plane of light and strangequark masses ... 
Fiveloop Konishi from the Mirror TBA
(2010)We use the Thermodynamic Bethe Ansatz equations for the AdS5 ? S5 mirror model to derive the fiveloop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with ... 
A fixedpoint theorem for holomorphic maps
(Royal Irish Academy, 1994)We consider the action on the maximal ideal space M of the algebra H of bounded analytic functions, induced by an analytic self?map of a complex manifold, X. After some general preliminaries, we focus on the question of ... 
Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
(2007)We simulate two variants of quenched twisted mass QCD (tmQCD), with degenerate Wilson quarks of masses equal to or heavier than half the strange quark mass. We use Ward identities in order to measure the twist angles of ... 
Folding in the Skyrme model.
(American Institute of Physics, 2001)There are only three stable singularities of a differentiable map between threedimensional manifolds, namely folds, cusps and swallowtails. A Skyrme configuration is a map from space to SU2, and its singularities correspond ... 
Form Factors, Integrability and the AdS/CFT Correspondence
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018)Form factors are matrix elements of local operators between scattering states, and are interesting offshell objects in any QFT. In this thesis we will focus on the worldsheet theory describing strings in AdS5xS5, the ... 
Formal and finite order equivalences
(2011)We show that two families of germs of realanalytic subsets in Cn are formally equivalent if and only if they are equivalent of any finite order. We further apply the same technique to obtain analogous statements for ... 
Foundations of the AdS_5 x S^5 Superstring. Part I
(2009)We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain ... 
Four graviton scattering amplitude from S(N) R**8 supersymmetric orbifold sigma model
(Elsevier, 1998)In the IR limit the Matrix string theory is expected to be described by the SNR8 supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string ... 
Fourpoint functions of lowest weight CPOs in N = 4 SYM(4) in supergravity approximation
(American Physical Society, 2000)We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on an AdS53S5 background coincides with the relevant part of the action of the gauged ... 
Fourier analysis, multiresolution analysis and dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 1998)This thesis has essentially two parts. The ﬁrst two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ... 
Free Field Representation and Form Factors of the Chiral GrossNeveu Model
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)The process of using the free field representation to construct form factors of two dimensional integrable models is very promising. In this thesis, this procedure is analysed and adapted for application to the chiral ... 
Free field representation and form factors of the chiral GrossNeveu model
(2013)The free field representation of the ZamolodchikovFaddeev algebra for the chiral GrossNeveu model is analysed in detail, and used to construct an integral representation for form factors of the model 
From positive geometries to a coaction on hypergeometric functions
(2020)It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on oneloop Feynman integrals in dimensional regularization, ...