110 citations · 677 across the 20 of their papers we have counts for
21 papers
Little and Big Jacobi Polynomials and the Askey-Wilson algebra
Pascal Baseilhac, Xavier Martin, Luc Vinet +1
The little and big q-Jacobi polynomials are shown to arise as basis vectors for representations of the Askey-Wilson algebra. The operators that these polynomials respectively diago…
A bispectral q-hypergeometric basis for a class of quantum integrable models
Pascal Baseilhac, Xavier Martin
For the class of quantum integrable models generated from the Onsager algebra, a basis of bispectral multivariable orthogonal polynomials is exhibited. In a first part, it…
Phase structures in fuzzy geometries
T R Govindarajan, S. Digal, K. S. Gupta +1
We study phase structures of quantum field theories in fuzzy geometries. Several examples of fuzzy geometries as well as QFT's on such geometries are considered. They are fuzzy sph…
Phase structure of fuzzy black holes
S. Digal, T. R. Govindarajan, Kumar S. Gupta +1
Noncommutative deformations of the BTZ blackholes are described by noncommutative cylinders. We study the scalar fields in this background. The spectrum is studied analytically and…
Coupled currents in cosmic strings
Marc Lilley, Xavier Martin, Patrick Peter
We first examine the microstructure of a cosmic string endowed with two simple Abelian currents. This microstructure depends on two state parameters. We then provide the macroscopi…
Simulation of a scalar field on a fuzzy sphere
Fernando García Flores, Xavier Martin, Denjoe O'Connor
The phi^4 real scalar field theory on a fuzzy sphere is studied numerically. We refine the phase diagram for this model where three distinct phases are known to exist: a uniformly…