M. B. Sedra

SOLUTIONS AND THERMODYNAMICS OF NONCOMMUTATIVE LIOUVILLE BLACK HOLE

Motivated by string theory results, we study Liouville black hole solutions and their thermodynamics on noncommutative space. In particular, we present explicit solutions of black hole equations of motion, then we find their classical properties such as the ADM-mass, the horizon geometry and the scalar Ricci curvature. Thermodynamic properties of such noncommutative black hole solutions including the Hawking temperature and entropy function are also discussed for three different regions of the moduli space of the theory.

Super-Liouville Theory from Superstring Theory in the Presence of Gauge Worldsheet Fields

We obtain in this work the super-Liouville theory induced from the action of the superstring theory in the presence of gauge worldsheet fields; such construction is based on a special ansatz that gives a special value of -fields . We discuss the integrability of super-Liouville theory through the Lax formulation, and we establish also the superfields formulation of super-Liouville equations.

Solutions and Thermodynamics of Charged Rotating Black Holes in a Fuzzy Space

We investigate the effect of fuzzy space on black hole and its thermodynamic Properties; we also present our results in different types of black holes according to the parameters and representing electric and magnetic charges.

On the Algebra of -Deformed Pseudodifferential Operators

While basing on the study that we we achieved on pseudodifferential operators in the works [arXiv:0708.4046 and hep-th/0610056 ], we interest in this paper to the construction of the algebra of 𝑞-deformed pseudodifferential operators. We use this algebraic structure to study in particular 𝑞-Burgers and 𝑞-KdV differential operators by the Lax generating technique. We give 𝑞-deformed Lax equations as well as the report between these equations through the 𝑞-deformed Burgers-KdV mapping.