Journal of High Energy Physics

, 2014:76 | Cite as

Thresholds of large N factorization in CFT4: exploring bulk spacetime in AdS5

Open Access
Regular Article - Theoretical Physics

Abstract

Large N factorization ensures that, for low-dimension gauge-invariant operators in the half-BPS sector of \( \mathcal{N}=4 \) SYM, products of holomorphic traces have vanishing correlators with single anti-holomorphic traces. This vanishing is necessary to consistently map trace operators in the CFT4 to a Fock space of graviton oscillations in the dual AdS5. We investigate the regimes at which the CFT correlators do not vanish but become of order one in the large N limit, which we call a factorization threshold. Quite generally, we find the threshold to be when the product of the two holomorphic operator dimensions is of order N log N . Our analysis considers extremal and non-extremal correlators and correlators in states dual to LLM backgrounds, and we observe intriguing similarities between the the energy-dependent running coupling of non-abelian gauge theories and our threshold equations. Finally, we discuss some interpretations of the threshold within the bulk AdS spacetime.

Keywords

AdS-CFT Correspondence Nonperturbative Effects 1/N Expansion 

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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Centre for Research in String Theory, School of Physics and AstronomyQueen Mary University of LondonLondonU.K.

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