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Justin David (Indian Institute of Science, Bangalore)
Date & Time
Thu, 08 August 2019, 16:00 to 17:30
Emmy Noether Seminar Room, ICTS Campus, Bangalore

Conformal   field  theories  in  d=3  admit  parity  odd structures   in  three point functions  involving conserved currents. We first use the average null energy condition  to obtain bounds on the structure constants of these three point functions. We then study the implications of the parity odd structure for bootstrap in these theories and demonstrate the existence of OPE coefficients of  operators at large spin that depend on the parity odd structure. Finally we derive  the bounds on  the structure constants using crossing symmetry, analyticity and reflection positivity. This serves as a consistency check of the contributions of the parity odd structure to the bootstrap equations.