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Kausik Ghosh (Indian Institute of Science, Bangalore)
Date & Time
Thu, 27 February 2020, 16:00 to 17:30
Emmy Noether Seminar Room, ICTS Campus, Bangalore

We develop the technology for Polyakov-Mellin (PM) bootstrap in 1D CFTs. By adding appropriate contact terms, we bootstrap various effective field theories in AdS2 and analytically compute the CFT data to one loop. We develop PM bootstrap for theories with global symmetry O(N) and computed various CFT data. As a check, we propose a suitable basis of transcendental functions, which allows to fix the four-point correlators of identical scalar primaries completely, up to finite ambiguities. We also derive expressions for the corresponding CFT data in terms of harmonic sums. Finally, we consider the Regge limit of 1D correlators and derive a precise connection between the latter and the large-twist limit of CFT data. Exploiting this result, we study the crossing equation in the three OPE limits and derive some universal constraints for the large-twist limit of CFT data in Regge-bounded theories with a finite number of exchanges.