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.

v1, 22 pages; v2, 28 pages: typos fixed, two figures added, unitarity analysis added; v3, minor changes to figures

References in corpus (9)

• The EFT-Hedron
• Extremal Effective Field Theories
• Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
• Veneziano Variations: How Unique are String Amplitudes?
• On the unitarity and low energy expansion of the Coon amplitude
• Accumulation-Point Amplitudes in String Theory
• UV-Complete Gravity Amplitudes and the Triple Product
• Properties of infinite product amplitudes: Veneziano, Virasoro, and Coon
• On the positivity of Coon amplitude in D=4

Cited by in corpus (21)

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• 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