# Massless Flavor in Geometry and Matrix Models

## Abstract

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 non-compact 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.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- Physics Division

- OSTI Identifier:
- 964298

- Report Number(s):
- LBNL-54529

- DOE Contract Number:
- DE-AC02-05CH11231

- Resource Type:
- Journal Article

- Journal Name:
- Nuclear Physics B

- Additional Journal Information:
- Related Information: Journal Publication Date: 11 June 2003

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72

### Citation Formats

```
Roiban, Radu, Tatar, Radu, and Walcher, Johannes.
```*Massless Flavor in Geometry and Matrix Models*. United States: N. p., 2003.
Web. doi:10.1016/S0550-3213(03)00451-6.

```
Roiban, Radu, Tatar, Radu, & Walcher, Johannes.
```*Massless Flavor in Geometry and Matrix Models*. United States. https://doi.org/10.1016/S0550-3213(03)00451-6

```
Roiban, Radu, Tatar, Radu, and Walcher, Johannes. Mon .
"Massless Flavor in Geometry and Matrix Models". United States. https://doi.org/10.1016/S0550-3213(03)00451-6. https://www.osti.gov/servlets/purl/964298.
```

```
@article{osti_964298,
```

title = {Massless Flavor in Geometry and Matrix Models},

author = {Roiban, Radu and Tatar, Radu and Walcher, Johannes},

abstractNote = {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 non-compact 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.},

doi = {10.1016/S0550-3213(03)00451-6},

url = {https://www.osti.gov/biblio/964298},
journal = {Nuclear Physics B},

number = ,

volume = ,

place = {United States},

year = {2003},

month = {1}

}

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