The D10R4 term in type IIB string theory

2006/10/31 by A. Basu, Anirban Basu
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Superstring theory #Supersymmetry #Type (biology) #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.03.024

published as Phys.Lett.B648:378-382,2007 · 12 pages, LaTeX

arxiv created 2006/11/02 · openalex publication_date 2007/03/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The modular invariant coefficient of the D 2 k R 4 term in the effective action of type IIB superstring theory is expected to satisfy Poisson equation on the fundamental domain of SL ( 2 , Z ) . Under certain assumptions, we obtain the equation satisfied by D 10 R 4 using the tree level and one loop results for four graviton scattering in type II string theory. This leads to the conclusion that the perturbative contributions to D 10 R 4 vanish above three loops, and also predicts the coefficients at two and three loops.

Citations

• Integrability in String Theories
• Supersymmetry constraints on type IIB supergravity
• Effects of D-instantons
• Type IIB E4H4−4 conjectures
• Computing theR4term at two Superstring Loops
• The λ16Term in IIB Supergravity
• Two-loop superstrings VI Nonrenormalization theorems and the 4-point function
• Some superstring amplitude computations with the non-minimal pure spinor formalism
• The geometry of string perturbation theory
• New Higher-DerivativeR4Theorems for Graviton Scattering
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring