Bootstrapping string like amplitudes: infinite product ansatz

14.03.2023 16:00 – 17:00

Abstract: In this talk, I will discuss a bootstrap approach to constructing string-like amplitudes from an infinite product ansatz. Our so-called generalized Veneziano and generalized Virasoro amplitudes UV-complete the four-point amplitudes of super Yang-Mills and supergravity analogously to the Veneziano and Virasoro amplitudes of string theory. Under some physical assumptions, we find that their spectra must satisfy an over-determined set of non-linear recursion relations. The recursion relation for the generalized Veneziano amplitudes can be solved analytically and yields a two-parameter family which includes the Veneziano amplitude, the one-parameter family of Coon amplitudes, and a larger two-parameter family of amplitudes with an infinite tower of spins at each mass level. In the generalized Virasoro case, the only consistent solution is the string spectrum.

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Bâtiment: Ecole de Physique

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