On the AdS3 Virasoro-Shapiro amplitude
Luis F. Alday, Gastón Giribet, Tobias Hansen
Abstract
A bstract We consider tree-level scattering amplitudes for four string tachyons on AdS 3 × $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> with pure NSNS fluxes. We show that in a small curvature expansion, properly defined, the amplitudes take the form of a genus zero integral given by the Virasoro-Shapiro integrand with the extra insertion of single valued multiple polylogarithms. This is the same structure as the one found for the AdS Virasoro-Shapiro amplitude in higher dimensions.
Topics & Concepts
PhysicsAmplitudeMathematical physicsVirasoro algebraQuantum electrodynamicsQuantum mechanicsAlgebra over a fieldPure mathematicsCellular algebraMathematicsAlgebra representationBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesCosmology and Gravitation Theories