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Universality of Sparse $d>2$ Conformal Field Theory at Large $N$

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arxiv 1610.06186 v2 pith:QU7OQITS submitted 2016-10-19 hep-th

Alexandre Belin , Jan de Boer , Jorrit Kruthoff , Ben Michel , Edgar Shaghoulian , Milind Shyani This is my paper
classification hep-th
keywords conformalfieldtheoryenergyextendedlargenecessaryrange
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abstract

We derive necessary and sufficient conditions for large $N$ conformal field theories to have a universal free energy and an extended range of validity of the higher-dimensional Cardy formula. These constraints are much tighter than in two dimensions and must be satisfied by any conformal field theory dual to Einstein gravity. We construct and analyze symmetric product orbifold theories on $\mathbb{T}^d$ and show that they only realize the necessary phase structure and extended range of validity if the seed theory is assumed to have a universal vacuum energy.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heavy-Heavy-Light Asymptotics from Thermal Correlators

    hep-th 2025-06 accept novelty 7.0 of 10

    The authors derive and test systematic large-dimension asymptotics for heavy-heavy-light OPE coefficients in 3D CFTs from thermal one-point functions on S1 x S2.

  2. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

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