Super Yang-Mills, Matrix Models and Geometric Transitions

Frank Ferrari (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

I explain two applications of the relationship between four dimensional N=1 supersymmetric gauge theories, zero dimensional gauged matrix models, and geometric transitions in string theory. The first is related to the spectrum of BPS domain walls or BPS branes. It is shown that one can smoothly interpolate between a D-brane state, whose weak coupling tension scales as Nc or 1/gs, and a closed string solitonic state, whose weak coupling tension scales as Nc^2 or 1/gs^2. This is part of a larger theory of N=1 quantum parameter spaces. The second is a new purely geometric approach to sum exactly over planar diagrams in zero dimension. It is an example of open/closed string duality.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Frank Ferrari. Super Yang-Mills, Matrix Models and Geometric Transitions. Comptes Rendus. Physique, 2005, 6, pp.219. ⟨hal-00298642⟩