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

Iosif Bena, Radu Roiban

Research output: Contribution to journalArticle

30 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)117-125
Number of pages9
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume555
Issue number1-2
DOIs
StatePublished - Feb 27 2003

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gauge theory
formulations
matrices
fine structure
diagrams
physics

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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AU - Roiban, Radu

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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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