Generalized Veneziano and Virasoro amplitudes

Autor: Geiser, Nicholas, Lindwasser, Lukas W.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP04(2023)031
Popis: We analyze so-called generalized Veneziano and generalized Virasoro amplitudes. 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.
Comment: v1, 22 pages; v2, 28 pages: typos fixed, two figures added, unitarity analysis added; v3, minor changes to figures
Databáze: arXiv