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All Outputs (106)

The Z_k^(su(2),3/2) Parafermions (2005)
Journal Article
Jacob, P., & Mathieu, P. (2005). The Z_k^(su(2),3/2) Parafermions. Physics Letters B, 627(1-4), 224-232. https://doi.org/10.1016/j.physletb.2005.09.006

We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3(1-1/k)/2, with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of t... Read More about The Z_k^(su(2),3/2) Parafermions.

Spinning Skyrmions and the Skyrme parameters. (2005)
Journal Article
Battye, R., Krusch, S., & Sutcliffe, P. (2005). Spinning Skyrmions and the Skyrme parameters. Physics Letters B, 626(1-4), 120-126. https://doi.org/10.1016/j.physletb.2005.08.097

The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are used almost exclusively, fix the pion mass to its ex... Read More about Spinning Skyrmions and the Skyrme parameters..

Level sets of functions and symmetry sets of surface sections (2005)
Presentation / Conference Contribution
Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005, October). Level sets of functions and symmetry sets of surface sections. Presented at Mathematics of Surfaces XI: 11th IMA international conference, Loughborough

We prove that the level sets of a real C s function of two variables near a non-degenerate critical point are of class C [s/2] and apply this to the study of planar sections of surfaces close to the singular section by the tangent plane at an ellipti... Read More about Level sets of functions and symmetry sets of surface sections.

Phase field models and higher-order active contours (2005)
Presentation / Conference Contribution
Rochery, M., Jermyn, I., & Zerubia, J. (2005). Phase field models and higher-order active contours. In Tenth IEEE International Conference on Computer Vision : proceedings : Beijing, China, October 17-20, 2005 (970-976). https://doi.org/10.1109/iccv.2005.189

The representation and modelling of regions is an important topic in computer vision. In this paper, we represent a region via a level set of a 'phase field' function. The function is not constrained, e.g. to be a distance function; nevertheless, pha... Read More about Phase field models and higher-order active contours.

Timelike T-duality in the string field Schrödinger functional (2005)
Journal Article
Ilderton, A., & Mansfield, P. (2005). Timelike T-duality in the string field Schrödinger functional. Journal of High Energy Physics, 2005(10), https://doi.org/10.1088/1126-6708/2005/10/016

Timelike T-duality of string theory appears as a symmetry of time evolution in string field theory, exchanging evolution through times t and 1/t, and exchanging boundary states with backgrounds. This is demonstrated by constructing the string field S... Read More about Timelike T-duality in the string field Schrödinger functional.

The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations (2005)
Journal Article
Hunton, J., & Shchukin, M. (2006). The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations. Integral Equations and Operator Theory, 54(1), https://doi.org/10.1007/s00020-004-1346-0

We study the K-theory of unital C *-algebras A satisfying the condition that all irreducible representations are finite and of some bounded dimension. We construct computational tools, but show that K-theory is far from being able to distinguish betw... Read More about The K-Theory of C*-Algebras with Finite Dimensional Irreducible Representations.

Parafermionic derivation of Andrews-type multiple sums (2005)
Journal Article
Jacob, P., & Mathieu, P. (2005). Parafermionic derivation of Andrews-type multiple sums. Journal of Physics A: Mathematical and General, 38(38), 8225-8238. https://doi.org/10.1088/0305-4470/38/38/004

A multi-parafermion basis of states for the Z_k parafermionic models is derived. Its generating function is constructed by elementary steps. It corresponds to the Andrews multiple-sum which enumerates partitions whose parts separated by the distance... Read More about Parafermionic derivation of Andrews-type multiple sums.

Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study (2005)
Journal Article
Schäfer-Nameki, S., Zamaklar, M., & Zarembo, K. (2005). Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study. Journal of High Energy Physics, 2005(09), https://doi.org/10.1088/1126-6708/2005/09/051

We analyze quantum corrections to rigid spinning strings in AdS5 × S5. The one-loop worldsheet quantum correction to the string energy is compared to the finite-size correction from the quantum string Bethe ansatz. Expanding the summands of the strin... Read More about Quantum corrections to spinning strings in AdS(5) x S(5) and Bethe ansatz: A Comparative study.

Texture-adaptive mother wavelet selection for texture analysis (2005)
Presentation / Conference Contribution
Abhayaratne, G., Jermyn, I., & Zerubia, J. (2005). Texture-adaptive mother wavelet selection for texture analysis. In 2005 International Conference on Image Processing (ICIP) : September 11-14, 2005, Genova, Italy (1290-1293). https://doi.org/10.1109/icip.2005.1530299

Classification results obtained using wavelet-based texture analysis techniques vary with the choice of mother wavelet used in the methodology. We discuss the use of mother wavelet filters as parameters in a probabilistic approach to texture analysis... Read More about Texture-adaptive mother wavelet selection for texture analysis.

New higher-order active contour energies for network extraction (2005)
Presentation / Conference Contribution
Rochery, M., Jermyn, I., & Zerubia, J. (2005). New higher-order active contour energies for network extraction. In 2005 International Conference on Image Processing (ICIP) : September 11-14, 2005, Genova, Italy (822-825). https://doi.org/10.1109/icip.2005.1530182

Using the framework of higher-order active contours, we present a new quadratic continuation energy for the extraction of line networks (e.g. road, hydrographic, vascular) in the presence of occlusions. Occlusions create gaps in the data that frequen... Read More about New higher-order active contour energies for network extraction.

Einstein gravity on an even-codimension brane (2005)
Journal Article
Charmousis, C., & Zegers, R. (2005). Einstein gravity on an even-codimension brane. Physical Review D, Particles and fields, 72(6), https://doi.org/10.1103/physrevd.72.064005

We give the equations of motion for a self-gravitating Dirac p-brane embedded in an even codimension spacetime. The dynamics of the bulk are dictated by Lovelock gravity and permit matching conditions, even when the codimension is strictly greater th... Read More about Einstein gravity on an even-codimension brane.

Assembly models for Papovaviridae based on tiling theory (2005)
Journal Article
Keef, T., Taormina, A., & Twarock, R. (2005). Assembly models for Papovaviridae based on tiling theory. Physical Biology, 2(3), 175-188. https://doi.org/10.1088/1478-3975/2/3/005

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Assembly models are developed for viral capsids built from protein building blocks that can assume dif... Read More about Assembly models for Papovaviridae based on tiling theory.

The Casimir effect between non-parallel plates by geometric optics (2005)
Journal Article
Guilfoyle, B., Klingenberg, W., & Sen, S. (2005). The Casimir effect between non-parallel plates by geometric optics. Reviews in Mathematical Physics, 17(8), 859 - 880. https://doi.org/10.1142/s0129055x05002431

The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has m... Read More about The Casimir effect between non-parallel plates by geometric optics.

Implicit solutions to some Lorentz invariant non-linear equations revisited (2005)
Journal Article
Fairlie, D. B. (2005). Implicit solutions to some Lorentz invariant non-linear equations revisited. Journal of Nonlinear Mathematical Physics, 12(3), 449-456. https://doi.org/10.2991/jnmp.2005.12.3.8

An implicit solution to the vanishing of the so-called Universal Field Equation, or Bordered Hessian, which dates at least as far back as 1935 \cite{chaundy} is revived, and derived from a much later form of the solution. A linear ansatz for an impli... Read More about Implicit solutions to some Lorentz invariant non-linear equations revisited.

Vertex Ring-Indexed Lie Algebras (2005)
Journal Article
Fairlie, D., & Zachos, C. (2005). Vertex Ring-Indexed Lie Algebras. Physics Letters B, 620(3-4), 195-199. https://doi.org/10.1016/j.physletb.2005.06.033

Infinite dimensional Lie algebras are introduced, which are only partially graded, and are specified by indices lying on cyclotomic rings. They may be thought of as generalisations of the Onsager algebra, but unlike it or its sl(n) generalisations, t... Read More about Vertex Ring-Indexed Lie Algebras.

Matching conditions for a brane of arbitrary codimension (2005)
Journal Article
Charmousis, C., & Zegers, R. (2005). Matching conditions for a brane of arbitrary codimension. Journal of High Energy Physics, 2005(08), https://doi.org/10.1088/1126-6708/2005/08/075

We present matching conditions for distributional sources of arbitrary codimension in the context of Lovelock gravity. Then we give examples, treating maximally symmetric distributional p-branes, embedded in flat, de Sitter and anti-de Sitter spaceti... Read More about Matching conditions for a brane of arbitrary codimension.