Bootstrapping string theory EFT

• Published in: The journal of high energy physics Vol. 2024; no. 5; pp. 289 - 33
• Main Authors: Chiang, Li-Yuan, Huang, Yu-tin, Weng, He-Chen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 24.05.2024; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Coefficients; Constraints; Effective Field Theories; Elementary Particles; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scattering Amplitudes; Singularity (mathematics); String and Brane Phenomenology; String Theory; Tachyons; Effective Field Theories; Scattering Amplitudes; String and Brane Phenomenology
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP05(2024)289

A bstract We study the space of open string effective field theories by combining the constraint of unitarity and monodromy relations for the four-point amplitude. The latter is a reflection of an underlying disk correlator with singularities at the boundary. By assuming maximal susy the resulting bootstrap isolates Wilson coefficients to at least 10 − 4 of the Type-I superstring. Furthermore, utilizing our geometric approach, we obtain the critical dimension of 10 from the low energy coefficients alone. Remarkably, relaxing SUSY but requiring the massless states to carry four-dimensional helicities, the Wilson coefficients are again constrained to superstring values within 10 − 4 . Thus we conclude that type-I string theory is the unique solution to the monodromy bootstrap with either maximal susy or vector external states. We also introduce Tachyons to the bootstrap and demonstrate for the scattering of external vectors, the bosonic and superstring span the allowed region. Allowed regions for closed string effective field theories are obtained by implementing the KLT relations.