Emergent Worldsheet for the AdS Virasoro-Shapiro Amplitude
Luis F. Alday, Tobias Hansen, Joao A. Silva
Abstract
We construct a representation for the first anti-de Sitter curvature correction to the Virasoro-Shapiro amplitude, as an integral over the Riemann sphere. The integrand is that of the Virasoro-Shapiro amplitude in flat space, with the extra insertion of a linear combination of single-valued multiple polylogarithms of weight three. The integral representation implies an elegant, manifestly single-valued representation for the Wilson coefficients of the low-energy expansion.
Topics & Concepts
WorldsheetPhysicsAmplitudeMathematical physicsCurvatureRepresentation (politics)De Sitter spaceSpace (punctuation)Anti-de Sitter spaceRiemann surfaceVirasoro algebraQuantum electrodynamicsPure mathematicsDe Sitter universeAlgebra over a fieldQuantum mechanicsString theoryMathematicsGeometryComputer scienceAlgebra representationCellular algebraUniverseNon-critical string theoryOperating systemPoliticsLawPolitical scienceBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions