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High Energy Physics - Theory

arXiv:1610.06186 (hep-th)
[Submitted on 19 Oct 2016 (v1), last revised 10 Jan 2017 (this version, v2)]

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

Authors:Alexandre Belin, Jan de Boer, Jorrit Kruthoff, Ben Michel, Edgar Shaghoulian, Milind Shyani
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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.
Comments: 32 pages + appendices
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1610.06186 [hep-th]
  (or arXiv:1610.06186v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1610.06186
Related DOI: https://doi.org/10.1007/JHEP03%282017%29067

Submission history

From: Jorrit Kruthoff [view email]
[v1] Wed, 19 Oct 2016 20:00:06 UTC (106 KB)
[v2] Tue, 10 Jan 2017 15:55:43 UTC (117 KB)
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