Supersymmetry constraints on type IIB supergravity

1998/08/27 by Michael Green, Michael B. Green, Savdeep Sethi · 15 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Eigenfunction #Eigenvalues and eigenvectors #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Supergravity #Supersymmetry #Type (biology) #hep-th

paper · pdf · doi:10.1103/physrevd.59.046006

published as Phys.Rev. D59 (1999) 046006 · 31 pages, harvmac (b); minor corrections

arxiv created 1998/08/27 · openalex publication_date 1999/01/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Supersymmetry is used to derive conditions on higher derivative terms in the effective action of type IIB supergravity. Using these conditions, we are able to prove earlier conjectures that certain modular invariant interactions of order (\ensuremathα^\ensuremath')³ relative to the Einstein-Hilbert term are proportional to eigenfunctions of the Laplace operator on the fundamental domain of SL(2,Z). We also discuss how these arguments generalize to terms of higher order in \ensuremathα^\ensuremath', as well as to compactifications of supergravity.

Citations

• Effects of D-instantons
• The exact quartic effective action for the type IIB superstring
• Five-Brane Effective Action In M-Theory
• Supergravity in theory in 11 dimensions

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• D6ℛ4 amplitudes in various dimensions
• New modular invariants in N = 4 Super-Yang-Mills theory
• Far beyond the planar limit in strongly-coupled N = 4 SYM
• Normalization of type IIB D-instanton amplitudes
• The two ∇6R4 type invariants and their higher order generalisation
• Sphere-level Ramond–Ramond couplings in Ramond–Neveu–Schwarz formalism
• R4 couplings and automorphic unipotent representations
• Duality group actions on fermions
• Maximal U(1)Y-violating n-point correlators in N = 4 super-Yang-Mills theory
• The D10R4 term in type IIB string theory