Lessons from crossing symmetry at large N View Full Text


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Article Info

DATE

2015-06

AUTHORS

Luis F. Alday, Agnese Bissi, Tomasz Lukowski

ABSTRACT

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM. We construct all solutions consistent with crossing symmetry in the limit of large central charge c ∼ N2 and large g2N . While we find an infinite tower of solutions, we argue most of them are suppressed by an extra scale Δgap and are consistent with the upper bounds for the scaling dimension of unprotected operators observed in the numerical superconformal bootstrap at large central charge. These solutions organize as a double expansion in 1/c and 1/Δgap. Our solutions are valid to leading order in 1/c and to all orders in 1/Δgap and reproduce, in particular, instanton corrections previously found. Furthermore, we find a connection between such upper bounds and positivity constraints arising from causality in flat space. Finally, we show that certain relations derived from causality constraints for scattering in AdS follow from crossing symmetry. More... »

PAGES

74

References to SciGraph publications

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  • 2007-11-09. Comments on operators with large spin in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2006-10-04. Causality, analyticity and an IR obstruction to UV completion in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10. Analyticity and the holographic S-matrix in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-10. Towards Feynman rules for Mellin amplitudes in AdS/CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-08-30. Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-10. Unitarity and the holographic S-Matrix in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. Writing CFT correlation functions as AdS scattering amplitudes in JOURNAL OF HIGH ENERGY PHYSICS
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  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    6

    VOLUME

    2015

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep06(2015)074

    DOI

    http://dx.doi.org/10.1007/jhep06(2015)074

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1004522144


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