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Infinite Chiral Symmetry in Four Dimensions

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Abstract

We describe a new correspondence between four-dimensional conformal field theories with extended supersymmetry and two-dimensional chiral algebras. The meromorphic correlators of the chiral algebra compute correlators in a protected sector of the four-dimensional theory. Infinite chiral symmetry has far-reaching consequences for the spectral data, correlation functions, and central charges of any four-dimensional theory with \({\mathcal{N}=2}\) superconformal symmetry.

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Authors and Affiliations

  1. Institute for Advanced Study, Einstein Dr., Princeton, NJ, 08540, USA

    Christopher Beem & Leonardo Rastelli

  2. Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY, 11794-3636, USA

    Christopher Beem

  3. C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794-3840, USA

    Madalena Lemos, Pedro Liendo, Wolfger Peelaers, Leonardo Rastelli & Balt C. van Rees

  4. IMIP, Humboldt-Universität zu Berlin, IRIS Adlershof, Zum Großen Windkanal 6, 12489, Berlin, Germany

    Pedro Liendo

  5. Theory Group, Physics Department, CERN, 1211, Geneva 23, Switzerland

    Balt C. van Rees

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  1. Christopher Beem
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  2. Madalena Lemos
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  3. Pedro Liendo
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  4. Wolfger Peelaers
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  5. Leonardo Rastelli
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  6. Balt C. van Rees
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Correspondence to Christopher Beem.

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Communicated by H. Ooguri

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Beem, C., Lemos, M., Liendo, P. et al. Infinite Chiral Symmetry in Four Dimensions. Commun. Math. Phys. 336, 1359–1433 (2015). https://doi.org/10.1007/s00220-014-2272-x

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