Flavour from partially resolved singularities

dc.contributor.areaPhysicsen_US
dc.contributor.authorBonelli, Giulioen_US
dc.contributor.authorBonora, Lorianoen_US
dc.contributor.authorRicco, Antonioen_US
dc.contributor.departmentElementary Particle Theoryen_US
dc.date.accessioned2006-04-18T12:58:24Zen_US
dc.date.accessioned2011-09-07T20:27:39Z
dc.date.available2006-04-18T12:58:24Zen_US
dc.date.available2011-09-07T20:27:39Z
dc.date.issued2006-04-18T12:58:24Zen_US
dc.description.abstractIn 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.en_US
dc.format.extent198121 bytesen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationPhys. Lett. B 637 (2006) 310-316en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/1817en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesSISSA;11/2006/EPen_US
dc.relation.ispartofseriesarXiv.org;hep-th/0603083en_US
dc.relation.uri10.1016/j.physletb.2006.04.049en_US
dc.titleFlavour from partially resolved singularitiesen_US
dc.typePreprinten_US
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