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\( \mathcal{N}=1 \) extension of minimal model holography

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Abstract

The CFT dual of the higher spin theory with minimal \( \mathcal{N}=1 \) spectrum is determined. Unlike previous examples of minimal model holography, there is no free parameter beyond the central charge, and the CFT can be described in terms of a non-diagonal modular invariant of the bosonic theory at the special value of the ’t Hooft parameter \( \lambda =\frac{1}{2} \). As evidence in favour of the duality we show that the symmetry algebras as well as the partition functions agree between the two descriptions.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “Ennio De Giorgi”, Università del Salento and INFN, Via Arnesano, 73100, Lecce, Italy

    Matteo Beccaria

  2. Institut für Theoretische Physik, ETH Zurich, CH-8093, Zürich, Switzerland

    Constantin Candu, Matthias R. Gaberdiel & Michael Groher

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  1. Matteo Beccaria
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  2. Constantin Candu
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  3. Matthias R. Gaberdiel
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  4. Michael Groher
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Correspondence to Matteo Beccaria.

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ArXiv ePrint: 1305.1048

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Beccaria, M., Candu, C., Gaberdiel, M.R. et al. \( \mathcal{N}=1 \) extension of minimal model holography. J. High Energ. Phys. 2013, 174 (2013). https://doi.org/10.1007/JHEP07(2013)174

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