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Baxter’sT-Q equation, SU(N)/SU(2)N − 3 correspondence and Ω-deformed Seiberg-Witten prepotential

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Abstract

We study Baxter’s T-Q equation of XXX spin-chain models under the semiclassical limit where an intriguing SU(N)/SU(2)N−3 correspondence is found. That is, two kinds of 4D \( \mathcal{N} = 2 \) superconformal field theories having the above different gauge groups are encoded simultaneously in one Baxter’s T-Q equation which captures their spectral curves. For example, while one is SU(N c ) with N f  = 2N c flavors the other turns out to be \( {\text{SU}}{(2)^{{N_c} - 3}} \) with N c hyper-multiplets (N c  > 3). It is seen that the corresponding Seiberg-Witten differential supports our proposal.

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Authors and Affiliations

  1. Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan

    Kenji Muneyuki & Ta-Sheng Tai

  2. Osaka City University Advanced Mathematical Institute, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan

    Nobuhiro Yonezawa & Reiji Yoshioka

Authors
  1. Kenji Muneyuki
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  2. Ta-Sheng Tai
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  3. Nobuhiro Yonezawa
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  4. Reiji Yoshioka
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Correspondence to Ta-Sheng Tai.

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ArXiv ePrint: 1107.3756

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Muneyuki, K., Tai, TS., Yonezawa, N. et al. Baxter’sT-Q equation, SU(N)/SU(2)N − 3 correspondence and Ω-deformed Seiberg-Witten prepotential. J. High Energ. Phys. 2011, 125 (2011). https://doi.org/10.1007/JHEP09(2011)125

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