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Stringy Dynamics from an Amplitudes Bootstrap

Cheung, Clifford and Remmen, Grant N. (2023) Stringy Dynamics from an Amplitudes Bootstrap. . (Unpublished)

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We describe an analytic procedure whereby scattering amplitudes are bootstrapped directly from an input mass spectrum and a handful of physical constraints: crossing symmetry, boundedness at high energies, and finiteness of exchanged spins. For an integer spectrum, this procedure gives a first principles derivation of a new infinite parameter generalization of the Veneziano amplitude that is unitary while exhibiting dual resonance and consistent high-energy behavior. Lifting to a q-deformed integer spectrum, we derive the Coon amplitude and its analogous generalizations. Finally, we apply this logic to derive an infinite class of deformed Virasoro-Shapiro amplitudes.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Cheung, Clifford0000-0002-9983-9425
Remmen, Grant N.0000-0001-6569-8866
Additional Information:We thank Zohar Komargodski, Julio Parra-Martinez, John Schwarz, and Sasha Zhiboedov for comments. C.C. is supported by the Department of Energy (Grant No. DE-SC0011632) and by the Walter Burke Institute for Theoretical Physics. G.N.R. is supported at the Kavli Institute for Theoretical Physics by the Simons Foundation (Grant No. 216179) and the National Science Foundation (Grant No. NSF PHY-1748958) and at the University of California, Santa Barbara by the Fundamental Physics Fellowship.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Simons Foundation216179
University of California, Santa BarbaraUNSPECIFIED
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Record Number:CaltechAUTHORS:20230317-162727094
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:120182
Deposited By: Joy Painter
Deposited On:17 Mar 2023 16:37
Last Modified:17 Mar 2023 16:37

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