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The ABCDEFG of instantons and W-algebras

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Abstract

For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure \( \mathcal{N} = {2} \) super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra.

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Authors and Affiliations

  1. California Institute of Technology, Pasadena, CA, 91125, USA

    Christoph A. Keller & Jaewon Song

  2. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805, München, Deutschland

    Noppadol Mekareeya

  3. IPMU, University of Tokyo, Kashiwa, Chiba, 277-8583, Japan

    Yuji Tachikawa

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  1. Christoph A. Keller
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Correspondence to Jaewon Song.

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ArXiv ePrint: 1111.5624

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Keller, C.A., Mekareeya, N., Song, J. et al. The ABCDEFG of instantons and W-algebras. J. High Energ. Phys. 2012, 45 (2012). https://doi.org/10.1007/JHEP03(2012)045

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