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LEPP Theory Seminar: Dalimil Mazac (Stony Brook)

Wednesday, February 20, 2019 at 2:00pm

Physical Sciences Building, 401
245 East Avenue

A crossing-symmetric OPE inversion formula


Abstract: I will discuss a new Lorentzian OPE inversion formula for the principal series of SL(2,R). Unlike the standard Lorentzian inversion formula in higher D, the new formula makes crossing symmetry manifest. In particular, inverting a single conformal block in the crossed channel returns the coefficient function of the crossing-symmetric sum of Witten exchange diagrams in AdS_2, including the direct-channel exchange. In this way, the inversion formula leads to a derivation of the Polyakov-Mellin bootstrap for SL(2,R). Furthermore, the formula directly gives rise to analytic extremal functionals which have appeared in recent literature, unifying them to a single object. Time allowing, I will explain how one can use the resulting functionals to study phi^4 theory in AdS_2 up to two loops, and prove universal properties of the spectrum at large scaling dimension.

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Event Type

Seminar

Departments

Physics, LEPP, CLASSE

Website

https://www.classe.cornell.edu/NewsAn...

Contact E-Mail

evm23@cornell.edu

Contact Name

Katerina Malysheva

Contact Phone

607-255-5722

Speaker

Dalimil Mazac

Speaker Affiliation

Stony Brook

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