Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-03-10
Phys.Lett.B637:310-316,2006
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1016/j.physletb.2006.04.049
In this letter we study topological open string field theory on D--branes in a IIB background given by non compact CY geometries ${\cal O}(n)\oplus{\cal O}(-2-n)$ 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 $A_2$ singularity, the quantum superpotential in the ${\cal N}=1$ 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.
Bonelli Giulio
Bonora Loriano
Ricco Antonio
No associations
LandOfFree
Flavour from partially resolved singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Flavour from partially resolved singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flavour from partially resolved singularities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-114699