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Multiplying unitary random matrices - universality and spectral properties
Romuald A. Janik, Waldemar Wieczorek
In this paper we calculate, in the large N limit, the eigenvalue density of an infinite product of random unitary matrices, each of them generated by a random hermitian matrix. Thi…
The decay of quantum D-branes
Jan Ambjorn, Romuald A. Janik
We study the {\em quantum} decay of D0-branes in two-dimensional 0B string theory. The quantum nature of the branes provides a natural cut-off for the closed string emission rate.…
Exact U(N_c)-> U(N_1)xU(N_2) factorization of Seiberg-Witten curves and N=1 vacua
Romuald A. Janik
N=2 gauge theories broken down to N=1 by a tree level superpotential are necessarily at the points in the moduli space where the Seiberg-Witten curve factorizes. We find exact solu…
The Dijkgraaf-Vafa correspondence for theories with fundamental matter fields
Romuald A. Janik
In this talk I describe some applications of random matrix models to the study of N=1 supersymmetric Yang-Mills theories with matter fields in the fundamental representation. I rev…
Towards a diagrammatic derivation of the Veneziano-Yankielowicz-Taylor superpotential
Jan Ambjorn, Romuald A. Janik
We show how it is possible to integrate out chiral matter fields in N=1 supersymmetric theories and in this way derive in a simple diagrammatic way the $N_f S \log S - S \log \det…
Backreaction and the rolling tachyon -- an effective action point of view
Yves Demasure, Romuald A. Janik
We compute the decay of an unstable D9 brane in type IIA string theory including backreaction effects using an effective field theory approach. The open string tachyon on the brane…