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\( \mathcal{N} = 1 \) curves for trifundamentals

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Abstract

We study the Coulomb phase of \( \mathcal{N} = 1 \) SU(2)3 gauge theory coupled to one trifundamental field, and generalizations thereof. The moduli space of vacua is always one-dimensional with multiple unbroken U(1) fields. We find that the \( \mathcal{N} = 1 \) Seiberg-Witten curve which encodes the U(1) couplings is given by the double cover of a Riemann surface branched at the poles and the zeros of a meromorphic function.

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Authors and Affiliations

  1. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey, 08504, U.S.A.

    Yuji Tachikawa

  2. Institute for the Physics and Mathematics of the Universe (IPMU), University of Tokyo, Chiba, 277-8568, Japan

    Kazuya Yonekura

  3. Department of Physics, University of Tokyo, Tokyo, 113-0033, Japan

    Kazuya Yonekura

Authors
  1. Yuji Tachikawa
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  2. Kazuya Yonekura
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Correspondence to Kazuya Yonekura.

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ArXiv ePrint: 1105.3215

On leave from IPMU. (Yuji Tachikawa)

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Tachikawa, Y., Yonekura, K. \( \mathcal{N} = 1 \) curves for trifundamentals. J. High Energ. Phys. 2011, 25 (2011). https://doi.org/10.1007/JHEP07(2011)025

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  • DOI: https://doi.org/10.1007/JHEP07(2011)025

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