Universality of sparse d > 2 conformal field theory at large N
A bstract 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 fie...
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Published in: | The journal of high energy physics 2017-03, Vol.2017 (3), p.1-44, Article 67 |
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Main Authors: | , , , , , |
Format: | Article |
Language: | eng |
Subjects: | |
Online Access: | Get full text |
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Summary: | A
bstract
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
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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ISSN: | 1029-8479 1029-8479 |