17 citations · 45 across the 8 of their papers we have counts for
9 papers
T-Duality and Lie bi-algebroid structures
Alexander Cardona, Juan José Villamarín
We show that the geometric notion of duality behind -duality, between two string theories on different manifolds in the sense of \cite{BHM1}\cite{BHM2}, is precisel…
Quasinormal modes of generalized Pöschl-Teller potentials
A. F. Cardona, C. Molina
Using algebraic techniques we obtain quasinormal modes and frequencies associated to generalized forms of the scattering Pöschl-Teller potential. This approach is based on the asso…
Counting an infinite number of points: a testing ground for renormalization methods
Li Guo, Sylvie Paycha, Bin Zhang
This is a leisurely introductory account addressed to non-experts and based on previous work by the authors, on how methods borrowed from physics can be used to "count" an infinite…
Real relativistic fluids in heavy ion collisions
Esteban Calzetta
The theory of real relativistic fluids is in the rather unique situation that there is a natural relativistic extension of the nonrelativistic theory, but it is physically untenabl…
Extended Symmetries and Poisson Algebras Associated to Twisted Dirac Structures
Alexander Cardona
In this paper we study the relationship between the extended symmetries of exact Courant algebroids over a manifold , defined by Bursztyn, Cavalcanti and Gualtieri, and the Pois…
Poisson Algebras of Admissible Functions Associated to Twisted Dirac Structures
Alexander Cardona
We define algebras of admissible functions associated to twisted Dirac structures, and we show that they are Poisson algebras. We study the standard cases associated to Dirac struc…
From tracial anomalies to anomalies in Quantum Field Theory
Alexander Cardona, Catherine Ducourtioux, Sylvie Paycha
zeta-regularized traces, resp. super-traces, are defined on a classical pseudo-differential operator A by: tr^Q(A):= f.p.tr(A Q^{-z})_{|_{z=0}}, resp. str^Q(A):= f.p.str(A Q^{-z})_…
Some Remarks about Duality, Analytic Torsion and Gaussian Integration in Antisymmetric Field Theories
Alexander Cardona
From a path integral point of view (e.g. \cite{Q98}) physicists have shown how {\it duality} in antisymmetric quantum field theories on a closed space-time manifold relies in a…
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
A. Cardona, C. Ducourtioux, J. P. Magnot +1
Using {\it weighted traces} which are linear functionals of the type defined on the whole algebra of (classical) pseudo-d…