Constraints on automorphic forms of higher derivative terms from compactification

DOI10.1007/JHEP08(2010)028zbMath1291.81314arXiv1002.1068MaRDI QIDQ2248182

Finn Gubay, Neil D. Lambert, Peter C. West

Publication date: 30 June 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1068

zbMATH Keywords

string dualitysupersymmetry and duality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Supersymmetric field theories in quantum mechanics (81T60) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Poisson equations, higher derivative automorphic forms and string parameter limits ⋮ \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series ⋮ Higher derivative type II string effective actions, automorphic forms and \(E_{11}\) ⋮ Small representations, string instantons, and Fourier modes of Eisenstein series ⋮ Perturbation theory from automorphic forms ⋮ String theory dualities and supergravity divergences ⋮ Kac–Moody groups and automorphic forms in low dimensional supergravity theories ⋮ Eisenstein series for infinite-dimensional U-duality groups ⋮ Parameters, limits and higher derivative type II string corrections

Cites Work

• Unnamed Item
• \(R^4\) couplings and automorphic unipotent representations
• A class of Lorentzian Kac-Moody algebras
• The \(D^{10}\mathcal R^4\) term in type IIB string theory
• Instanton corrections to the universal hypermultiplet and automorphic forms on \(\text{SU}(2,1)\)
• Effects of D-instantons
• On \(R^4\) threshold corrections in type IIB string theory and \((p,q)\)-string instantons
• Type IIB \(R^4H^{4g-4}\) conjectures
• Unity of superstring dualities.
• Conformal internal symmetry of 2d \(\sigma \)-models coupled to gravity and a dilaton
• Electric-magnetic duality in string theory.
• Eisenstein series and string thresholds.
• Perturbation theory from automorphic forms
• The automorphic NS5-brane
• E ₁₁ and M theory
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory
• New Higher-Derivative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>R</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>Theorems for Graviton Scattering
• Aspects of higher curvature terms and U-duality
• Kaluza-Klein supergravity in ten dimensions
• Kac-Moody symmetries of IIB supergravity