Lessons from crossing symmetry at large N

Alday, Luis F., Bissi, Agnese and Lukowski, Tomasz (2015) Lessons from crossing symmetry at large N. Journal of High Energy Physics (JHEP), 2015: 74. ISSN 1126-6708
Copy

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.

visibility_off picture_as_pdf

picture_as_pdf
1410.4717v2.pdf
subject
Submitted Version
lock
Restricted to Repository staff only

Request Copy
picture_as_pdf

Published Version


Atom BibTeX OpenURL ContextObject in Span OpenURL ContextObject Dublin Core MPEG-21 DIDL Data Cite XML EndNote HTML Citation METS MODS RIOXX2 XML Reference Manager Refer ASCII Citation
Export

Downloads