TY - JOUR

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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U2 - 10.1016/S0370-2693(03)00034-0

DO - 10.1016/S0370-2693(03)00034-0

M3 - Article

AN - SCOPUS:0037468335

VL - 555

SP - 117

EP - 125

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

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

SN - 0370-2693

IS - 1-2

ER -