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        Lessons from crossing symmetry at large N

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        Alday2015_Article_LessonsFromCrossingSymmetryAtL.pdf (PDF, 568Kb)
        Author
        Alday, Luis F.
        Bissi, Agnese
        Lukowski, Tomasz
        Attention
        2299/20730
        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 ~ N^2 and large g^2 N. While we find an infinite tower of solutions, we argue most of them are suppressed by an extra scale \Delta_{gap} 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/\Delta_{gap}. Our solutions are valid to leading order in 1/c and to all orders in 1/\Delta_{gap} 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.
        Publication date
        2015-06-12
        Published in
        Journal of High Energy Physics
        Published version
        https://doi.org/10.1007/JHEP06(2015)074
        Other links
        http://hdl.handle.net/2299/20730
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