Baryons, boundaries and matrix models

Iosif Bena; Radu Roiban; Radu Tatar

doi:10.1016/j.nuclphysb.2003.10.045

Baryons, boundaries and matrix models

Iosif Bena, Radu Roiban, Radu Tatar

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in [I. Bena, R. Roiban, hep-th/0211075]. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter.

Original language	English (US)
Pages (from-to)	168-188
Number of pages	21
Journal	Nuclear Physics B
Volume	679
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2003.10.045
State	Published - Feb 16 2004

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2003.10.045

Cite this

@article{c81b3ad935b741b491bdfdbb3f0f32e0,

title = "Baryons, boundaries and matrix models",

abstract = "A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in [I. Bena, R. Roiban, hep-th/0211075]. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter.",

author = "Iosif Bena and Radu Roiban and Radu Tatar",

note = "Funding Information: We thank Eric d'Hoker, Per Kraus and Hitoshi Murayama for useful discussions. The work of I.B. was supported by the NSF under Grant No. PHY00-99590. The work of R.R. was supported in part by DOE under Grant No. 91ER40618 and in part by the NSF under Grant No. PHY00-98395. R.T. was supported by the DOE grant DE-AC03-76SF00098, the NSF grant PHY-0098840 and by the Berkeley Center for Theoretical Physics. ",

year = "2004",

month = feb,

day = "16",

doi = "10.1016/j.nuclphysb.2003.10.045",

language = "English (US)",

volume = "679",

pages = "168--188",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Baryons, boundaries and matrix models

AU - Bena, Iosif

AU - Roiban, Radu

AU - Tatar, Radu

N1 - Funding Information: We thank Eric d'Hoker, Per Kraus and Hitoshi Murayama for useful discussions. The work of I.B. was supported by the NSF under Grant No. PHY00-99590. The work of R.R. was supported in part by DOE under Grant No. 91ER40618 and in part by the NSF under Grant No. PHY00-98395. R.T. was supported by the DOE grant DE-AC03-76SF00098, the NSF grant PHY-0098840 and by the Berkeley Center for Theoretical Physics.

PY - 2004/2/16

Y1 - 2004/2/16

N2 - A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in [I. Bena, R. Roiban, hep-th/0211075]. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter.

AB - A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a generic polynomial in multi-trace operators constructed out of such fields. We show that the effective superpotential is generated by planar diagrams with at most one (generalized) boundary. This justifies the proposal put forward in [I. Bena, R. Roiban, hep-th/0211075]. We then proceed to extend the gauge theory-matrix model duality to include baryonic operators. We obtain the full moduli space of vacua for an U(N) theory with N flavors. We also outline a program leading to a string theory justification of the gauge theory-matrix model correspondence with fundamental matter.

UR - http://www.scopus.com/inward/record.url?scp=0345861824&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345861824&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2003.10.045

DO - 10.1016/j.nuclphysb.2003.10.045

M3 - Article

AN - SCOPUS:0345861824

SN - 0550-3213

VL - 679

SP - 168

EP - 188

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

Baryons, boundaries and matrix models

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this