Work

Scattering on the worldvolume: Amplitude relations in Brower-Goddard string models

Year: 2024

Type: article

Abstract: We investigate the Brower-Goddard extension of the Veneziano and Virasoro-Shapiro four-point amplitudes obtained by generalizing the Koba-Nielsen integrals to d -dimensional conformally invariant integrals. The amplitudes derived from this framework exhibit polynomial residues and can be shown to adhere to polynomial bounds at high energies. In odd dimensions, the amplitudes decompose into sums of three partial amplitudes, enabling the formulation of general amplitude relations that subsume the Kawai-Lewellen-Tye (KLT) formula as a particular case. The amplitudes contain multiple tachyons in their spectra. Still, we demonstrate that their residues comply with the positivity conditions mandated by unitarity for spacetime dimensions at or below critical values D crit ( d ) , where D crit ( 6 ) = 26 and D crit ( ∞ ) = 10 . In closing, we contemplate physical applications for membranes and potential extensions of the formalism. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.l081902

Authors: N. Emil J. Bjerrum-Bohr, Christian Baadsgaard Jepsen

Institution: Korea Institute for Advanced Study

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Carlsbergfondet, Danmarks Frie Forskningsfond, Korea Institute for Advanced Study

Awards: G1028039580, G4251908440