Twist operators in higher dimensions
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Publication:271304
DOI10.1007/JHEP10(2014)178zbMATH Open1333.81295arXiv1407.6429OpenAlexW3099687179MaRDI QIDQ271304
Author name not available (Why is that?)
Publication date: 7 April 2016
Published in: (Search for Journal in Brave)
Abstract: We study twist operators in higher dimensional CFT's. In particular, we express their conformal dimension in terms of the energy density for the CFT in a particular thermal ensemble. We construct an expansion of the conformal dimension in power series around n=1, with n being replica parameter. We show that the coefficients in this expansion are determined by higher point correlations of the energy-momentum tensor. In particular, the first and second terms, i.e. the first and second derivatives of the scaling dimension, have a simple universal form. We test these results using holography and free field theory computations, finding agreement in both cases. We also consider the `operator product expansion' of spherical twist operators and finally, we examine the behaviour of correlators of twist operators with other operators in the limit n ->1.
Full work available at URL: https://arxiv.org/abs/1407.6429
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