Exact superpotentials in N = 1 theories with flavor and their matrix model formulation

Iosif Bena; Radu Roiban

doi:10.1016/S0370-2693(03)00034-0

Exact superpotentials in N = 1 theories with flavor and their matrix model formulation

Iosif Bena, Radu Roiban

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

30 Scopus citations

Abstract

In this Letter we investigate the effective superpotential of an N = 1 U (N_c) gauge theory with one adjoint chiral multiplet and N_f fundamental chiral multiplets. We propose a matrix model prescription in which only matrix model diagrams with less than two boundaries contribute to the gauge theory effective superpotential. This prescription reproduces exactly the known gauge theory physics for all N_f and N_c. For N_f ≤ Nc - 1 this is given by the Affleck-Dine-Seiberg superpotential. For N_f ≥ N_c + 1 we present arguments leading to the conclusion that the dynamics of these theories is also reproduced by the matrix model.

Original language	English (US)
Pages (from-to)	117-125
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	555
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(03)00034-0
State	Published - Feb 27 2003

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/S0370-2693(03)00034-0

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title = "Exact superpotentials in N = 1 theories with flavor and their matrix model formulation",

abstract = "In this Letter we investigate the effective superpotential of an N = 1 U (Nc) gauge theory with one adjoint chiral multiplet and Nf fundamental chiral multiplets. We propose a matrix model prescription in which only matrix model diagrams with less than two boundaries contribute to the gauge theory effective superpotential. This prescription reproduces exactly the known gauge theory physics for all Nf and Nc. For Nf ≤ Nc - 1 this is given by the Affleck-Dine-Seiberg superpotential. For Nf ≥ Nc + 1 we present arguments leading to the conclusion that the dynamics of these theories is also reproduced by the matrix model.",

author = "Iosif Bena and Radu Roiban",

note = "Funding Information: We would like to thank David Gross, Per Kraus, Joe Polchinski, Johannes Walcher and Sebastian de Haro, for useful comments and 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.",

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T1 - Exact superpotentials in N = 1 theories with flavor and their matrix model formulation

AU - Bena, Iosif

AU - Roiban, Radu

N1 - Funding Information: We would like to thank David Gross, Per Kraus, Joe Polchinski, Johannes Walcher and Sebastian de Haro, for useful comments and 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.

PY - 2003/2/27

Y1 - 2003/2/27

N2 - In this Letter we investigate the effective superpotential of an N = 1 U (Nc) gauge theory with one adjoint chiral multiplet and Nf fundamental chiral multiplets. We propose a matrix model prescription in which only matrix model diagrams with less than two boundaries contribute to the gauge theory effective superpotential. This prescription reproduces exactly the known gauge theory physics for all Nf and Nc. For Nf ≤ Nc - 1 this is given by the Affleck-Dine-Seiberg superpotential. For Nf ≥ Nc + 1 we present arguments leading to the conclusion that the dynamics of these theories is also reproduced by the matrix model.

AB - In this Letter we investigate the effective superpotential of an N = 1 U (Nc) gauge theory with one adjoint chiral multiplet and Nf fundamental chiral multiplets. We propose a matrix model prescription in which only matrix model diagrams with less than two boundaries contribute to the gauge theory effective superpotential. This prescription reproduces exactly the known gauge theory physics for all Nf and Nc. For Nf ≤ Nc - 1 this is given by the Affleck-Dine-Seiberg superpotential. For Nf ≥ Nc + 1 we present arguments leading to the conclusion that the dynamics of these theories is also reproduced by the matrix model.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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