In this letter we study topological open string field theory on D--branes in a IIB background given by non compact CY geometries O(n)⊕O(−2−n) on $P1$ with a singular point at which an extra fiber sits. We wrap N D5-branes on $P1$ and M effective D3-branes at singular points, which are actually D5--branes wrapped on a shrinking cycle. We calculate the holomorphic Chern-Simons partition function for the above models in a deformed complex structure and find that it reduces to multi--matrix models with flavour. These are the matrix models whose resolvents have been shown to satisfy the generalized Konishi anomaly equations with flavour. In the n=0 case, corresponding to a partial resolution of the A2 singularity, the quantum superpotential in the N=1 unitary SYM with one adjoint and M fundamentals is obtained. The n=1 case is also studied and shown to give rise to two--matrix models which for a particular set of couplings can be exactly solved. We explicitly show how to solve such a class of models by a quantum equation of motion technique.

Flavor from partially resolved singularities / Bonelli, G.; Bonora, L.; Ricco, A.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 637:4-5(2006), pp. 310-316. [10.1016/j.physletb.2006.04.049]

Flavor from partially resolved singularities

Bonelli, G.;
2006-01-01

Abstract

In this letter we study topological open string field theory on D--branes in a IIB background given by non compact CY geometries O(n)⊕O(−2−n) on $P1$ with a singular point at which an extra fiber sits. We wrap N D5-branes on $P1$ and M effective D3-branes at singular points, which are actually D5--branes wrapped on a shrinking cycle. We calculate the holomorphic Chern-Simons partition function for the above models in a deformed complex structure and find that it reduces to multi--matrix models with flavour. These are the matrix models whose resolvents have been shown to satisfy the generalized Konishi anomaly equations with flavour. In the n=0 case, corresponding to a partial resolution of the A2 singularity, the quantum superpotential in the N=1 unitary SYM with one adjoint and M fundamentals is obtained. The n=1 case is also studied and shown to give rise to two--matrix models which for a particular set of couplings can be exactly solved. We explicitly show how to solve such a class of models by a quantum equation of motion technique.
2006
637
4-5
310
316
https://doi.org/10.1016/j.physletb.2006.04.049
https://arxiv.org/abs/hep-th/0603083
Bonelli, G.; Bonora, L.; Ricco, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13487
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