Massless flavor in geometry and matrix models

The proper inclusion of flavor in the Dijkgraaf–Vafa proposal for the solution of N=1 gauge theories through matrix models has been subject of debate in the recent literature. We here reexamine this issue by geometrically engineering fundamental matter with type IIB branes wrapped on noncompact cycl...

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Bibliographic Details
Published inNuclear physics. B Vol. 665; pp. 211 - 235
Main Authors Roiban, Radu, Tatar, Radu, Walcher, Johannes
Format Journal Article
LanguageEnglish
Published Elsevier B.V 18.08.2003
Subjects
11.25.Mj
11.15.-g
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Summary:The proper inclusion of flavor in the Dijkgraaf–Vafa proposal for the solution of N=1 gauge theories through matrix models has been subject of debate in the recent literature. We here reexamine this issue by geometrically engineering fundamental matter with type IIB branes wrapped on noncompact cycles in the resolved geometry, and following them through the geometric transition. Our approach treats massive and massless flavor fields on equal footing, including the mesons. We also study the geometric transitions and superpotentials for finite mass of the adjoint field. All superpotentials we compute reproduce the field theory results. Crucial insights come from T-dual brane constructions in type IIA.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(03)00451-6