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- Title
Flattening of the EFT-hedron: supersymmetric positivity bounds and the search for string theory.
- Authors
Berman, Justin; Elvang, Henriette; Herderschee, Aidan
- Abstract
We examine universal positivity constraints on 2 → 2 scattering in 4d planar N = 4 supersymmetric Yang-Mills theory with higher-derivative corrections. We present numerical evidence that the convex region of allowed Wilson coefficients (the "EFT-hedron") flattens completely along about one-third of its dimensions when an increasing number of constraints on the spectral density from crossing-symmetry are included. Our analysis relies on the formulation of the positivity constraints as a linear optimization problem, which we implement using two numerical solvers, SDPB and CPLEX. Motivated by the flattening, we propose a novel partially resummed low-energy expansion of the 2 → 2 amplitude. As part of the analysis, we provide additional evidence in favor of the conjecture [1] that the Veneziano amplitude is the only amplitude compatible with both S-matrix bootstrap constraints and string monodromy.
- Subjects
STRING theory; SEARCH theory; CONVEX domains; SPECTRAL energy distribution; YANG-Mills theory; SCATTERING amplitude (Physics)
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 3, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP03(2024)021