Browsing Pure & Applied Mathematics by Title
Now showing items 316-335 of 390
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Scalar Quartic Effective Action on AdS5
(1999)We review the recent results concerning the computation of cubic and quartic couplings of scalar fields in type IIB supergravity on AdS5 ? S5 background that are dual to (extended) chiral primary operators in N = 4 SYM4. ... -
Scale invariance of the η-deformed AdS<inf>5</inf>Ã-S5 superstring, T-duality and modified type II equations
(2016)We consider the ABF background underlying the η -deformed AdS 5 × S 5 sigma model. This back- ground fails to satisfy the standard IIB supergravity equations which indicates that the corres ... -
Scaling dimensions from the mirror TBA
(2012)The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several two-particle states dual to ${\cal N}=4$ SYM operators from the ... -
Semiclassical quantization of rotating superstring in AdS(5) x S**5
(Institute of Physics, 2002)Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop semiclassical quantization of superstring in AdS5 ? S5. We start with a classical solution describing string rotating in AdS5 and boosted along ... -
Semileptonic decays B-->pi lepton neutrino and D-->pi lepton neutrion from lattice QCD
(American Physical Society, 2001)We present a lattice QCD calculation of the form factors and differential decay rates for semileptonic decays of the heavy-light mesons B and D to the final state pln . The results are obtained with three methodological ... -
Sheaves on P2 and generalised Appell functions
(2017)A closed expression is given for the generating function of ( virtual) Poincaré polynomials of moduli spaces of semi-stable sheaves on the p rojective plane P 2 with arbitrary rank r and Chern classes. This ... -
Sigma models of the AdS/CFT correspondence
(Trinity College (Dublin, Ireland). School of Mathematics, 2011)The thesis is dedieated to the investigation of the properties of particular two-dimensional quantum field theories, i.e. sigma-models with target space of the form AdS5 x S5γ and AdS4 x CP3. The main results of the thesis ... -
Simplified TBA equations of the AdS_5 x S^5 mirror model
(IOP Publishing, 2009)We use the recently found integral representation for the dressing phase in the kinematic region of the mirror theory to simplify the TBA equations for the AdS5 ? S5 mirror model. The resulting set of equations provides ... -
Simulated annealing of Skyrme model configurations
(Trinity College (Dublin, Ireland). School of Mathematics, 2006)The Skyrme model is a topological field theory that has been shown to be a good low energy approximation to QCD. A particular quantum theoretical treatment of the model reduces the quantization to a finite-dimensional ... -
Skyrmions and monopoles: dihedrally-symmetric 3-solitons.
(Met, 2001)The similarity between Skyrmions and Bogomolny-Prasad-Sommerfield (BPS) monopoles has often been remarked. In this talk I will illustrate this similarity by reviewing the rational map ansatz and by discussing the specific ... -
SO(N) invariant Wess-Zumino action and its quantization
(Springer Verlag, 1996)A consistent quantization procedure of anomalous chiral models is discussed. It is based on a modification of the classical action by adding Wess-Zumino terms. The SO(3) invariant WZ action for the SU(3) model is constructed. ... -
Soft covariant gauges on the lattice
(2008-10-08)We present an exploratory study of a one-parameter family of covariant, nonperturbative lattice gauge-fixing conditions that can be implemented through a simple Monte Carlo algorithm. We demonstrate that at the numerical ... -
Solutions to dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 2001)This thesis aims to explore part of the wonderful world of dilation equations. Dilation equations have a convoluted history, having reared their heads in various mathematical fields. One of the early appearances was in the ... -
Some cubic couplings in type IIB supergravity on AdS(5) x S(5) and three-point functions in SYM(4) at large N
(American Physical Society, 2000)All cubic couplings in type IIB supergravity on AdS53S5 that involve two scalar fields sI that are mixtures of the five form field strength on S5 and the trace of the graviton on S5 are derived by using the covariant equations ... -
Sparse coding of birdsong and receptive field structure in songbirds
(2009)Auditory neurons can be characterized by a spectro-temporal receptive field, the kernel of a linear filter model describing the neuronal response to a stimulus. With a view to better understanding the tuning properties ... -
The sparse decomposition of sound in the time domain using non-negative quadratic programming.
(2009)Non-negative matrix deconvolution and sparse decomposition are useful tools for source separation and acoustic object recognition. Here, a new algorithm for calculating a sparse decomposition of sound in the time domain ... -
Spectral functions from lattice QCD at finite temperature
(Trinity College (Dublin, Ireland). School of Mathematics, 2015)An investigation of the bottonionium spectrum above and below the QCD deconfinement crossover temperature, Tc, was performed using a non-relativistic treatment of the heavy quark on anisotropic lattices with Nf = 2 + 1 ... -
Spectroscopy and scattering of mesons containing charm quarks from lattice QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2013)We present excited spectra of mesons containing charm-light (D), charm-strange (Ds) and charm-charm (charmoninm) combinations. We perform these spectroscopic calculations on two volumes. 16(3) X 128 and 24(3) x 128, of ... -
Spectroscopy of Bs and Ds mesons
(Elsevier, 1998)We study Bs and Ds spectroscopy in quenched lattice QCD using the Fermilab approach to heavy quarks. We obtain results at four lattice spacings, a, using O(a)-improved Wilson quarks. We compare and contrast the various ...
