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On the multi trace superpotential and corresponding matrix model

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Abstract.

We study \({\cal N} = 1\) supersymmetric U(N) gauge theory coupled to an adjoint scalar superfield with a cubic superpotential containing a multi trace term. We show that the field theory results can be reproduced from a matrix model whose potential is given in terms of a linearized potential obtained from the gauge theory superpotential by adding some auxiliary non-dynamical field. Once we get the effective action from this matrix model we could integrate out the auxiliary field getting the correct field theory results.

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Authors and Affiliations

  1. Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran

    M. Alishahiha & H. Yavartanoo

  2. Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran

    H. Yavartanoo

Authors
  1. M. Alishahiha
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  2. H. Yavartanoo
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Correspondence to M. Alishahiha.

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Received: 2 May 2003, Published online: 18 December 2003

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Alishahiha, M., Yavartanoo, H. On the multi trace superpotential and corresponding matrix model. Eur. Phys. J. C 32, 575–582 (2004). https://doi.org/10.1140/epjc/s2003-01464-1

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  • DOI: https://doi.org/10.1140/epjc/s2003-01464-1

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