Generalized Veneziano and Virasoro amplitudes

Abstract

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.

arXiv commentv1, 22 pages; v2, 28 pages: typos fixed, two figures added, unitarity analysis added; v3, minor changes to figures

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Cited by in corpus (21)

• Cornering Large-$N_c$ QCD with Positivity Bounds
• Shedding black hole light on the emergent string conjecture
• Stringy Dynamics from an Amplitudes Bootstrap
• Bespoke Dual Resonance
• The Stringy S-matrix Bootstrap: Maximal Spin and Superpolynomial Softness
• Multiparticle Factorization and the Rigidity of String Theory
• Cutting the Coon Amplitude
• On (Scalar QED) Gravitational Positivity Bounds
• Covariant actions and propagators for all spins, masses, and dimensions
• On the positivity of the hypergeometric Veneziano amplitude
• Uniqueness Criteria for the Virasoro-Shapiro Amplitude
• Positivity of the Hypergeometric Coon Amplitude
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Consistent actions for massive particles interacting with electromagnetism and gravity
• Coon unitarity via partial waves or: how I learned to stop worrying and love the harmonic numbers
• Lectures in Quantum Gravity
• On the number of Regge trajectories for dual amplitudes
• Strings from Almost Nothing
• Worldsheet for Generalized Veneziano Amplitudes
• A glimpse into the Ultrametric spectrum
• Higher-Spin and Higher-Point Constraints on Stringy Amplitudes