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UID:454@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20141107T130000
DTEND;TZID=Europe/Berlin:20141107T140000
DTSTAMP:20141106T124500Z
URL:https://qft.physik.hu-berlin.de/next-seminars/agnese-bissi-oxford/
SUMMARY:Agnese Bissi\, Oxford - What can we learn from crossing symmetry at
  large N?
DESCRIPTION:What can we learn from crossing symmetry at large N?\n\nAbstrac
 t: In this talk I will discuss how to construct all solutions consistent w
 ith\ncrossing symmetry in the limit of large central charge c ~ N^2\, star
 ting from the\nfour-point correlator of the stress tensor multiplet in N=4
  SYM. Unitarity forces\nthe introduction of a scale \\Delta_{gap} and thes
 e solutions organize as a double\nexpansion in 1/c and 1/\\Delta_{gap}. Th
 ese solutions are valid to leading order in\n1/c and to all orders in 1/\\
 Delta_{gap} and reproduce\, in particular\, instanton\ncorrections previou
 sly found. Comparison with such instanton computations allows to\nfix \\De
 lta_{gap}. Using this gap scale one can explain the upper bounds for the\n
 scaling dimension of unprotected operators observed in the numerical super
 conformal\nbootstrap at large central charge. Furthermore\, I will present
  connections between\nsuch upper bounds and positivity constraints arising
  from causality in flat space\nand I will discuss how certain relations de
 rived from causality constraints for\nscattering in AdS follow from crossi
 ng symmetry.
CATEGORIES:Pizza Seminars
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TZID:Europe/Berlin
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DTSTART:20141026T020000
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