Mounir Haddou

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Using geometric engineering method of 4D N = 2 quiver gauge theories and results on the classification of Kac-Moody (KM) algebras, we show on explicit examples that there exist three sectors of N = 2 infrared CFT4s. Since the geometric engineering of these CFT4s involve type II strings on K3 fibered CY3 singularities, we conjecture the existence of three(More)
Using Katz, Klemm and Vafa geometric engineering method of N = 2 supersymmetric QFT4s and results on the classification of generalized Cartan matrices of Kac-Moody (KM) algebras, we study the un-explored class of N = 2 CFT4s based on indefinite singularities. We show that the vanishing condition for the general expression of holomorphic beta function of N =(More)
A class of smoothing methods is proposed for solving mathematical programs with equimibrium constraints. We introduce new and very simple regularizations of the complementarity constraints. Some estimate distance to optimal solution and expansions of the optimal value function are presented. Limited numerical experiments using SNOPT algorithm are presented(More)
This paper is devoted to the study of a routing problem in telecommunication networks, when the cost function is the average delay. We establish asymptotic expansions for the value function and solutions in the vicinity of a congested nominal problem. The study is strongly related to the one of a partial inverse barrier method for linear programming.(More)