Perturbation theory from automorphic forms

DOI10.1007/JHEP05(2010)098zbMath1287.81097arXiv1001.3284OpenAlexW2016868417MaRDI QIDQ2451940

Neil D. Lambert, Peter C. West

Publication date: 27 May 2014

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

Full work available at URL: https://arxiv.org/abs/1001.3284

zbMATH Keywords

string dualitydiscrete and finite symmetriessupersymmetry and duality

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Other groups and their modular and automorphic forms (several variables) (11F55) Applications of group representations to physics and other areas of science (20C35)

Related Items (8)

Poisson equations, higher derivative automorphic forms and string parameter limits ⋮ Higher derivative type II string effective actions, automorphic forms and \(E_{11}\) ⋮ \(R^4\) couplings and automorphic unipotent representations ⋮ String theory dualities and supergravity divergences ⋮ Kac–Moody groups and automorphic forms in low dimensional supergravity theories ⋮ Constraints on automorphic forms of higher derivative terms from compactification ⋮ Eisenstein series for infinite-dimensional U-duality groups ⋮ Parameters, limits and higher derivative type II string corrections

Cites Work

• \(R^4\) 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.
• Constraints on automorphic forms of higher derivative terms from compactification
• 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

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