Twist operators in higher dimensions

Ling Yan Hung, Robert C. Myers, Michael Smolkin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

89 Scopus citations

Abstract

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.

Original languageAmerican English
Article number178
JournalJournal of High Energy Physics
Volume2014
Issue number10
DOIs
StatePublished - Oct 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2014, The Author(s).

Keywords

  • AdS-CFT Correspondence
  • Field Theories in Higher Dimensions
  • Statistical Methods

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