Eisenstein series for higher-rank groups and string theory amplitudes

From MaRDI portal
Publication:538212

DOI10.4310/CNTP.2010.v4.n3.a2zbMath1218.83034arXiv1004.0163OpenAlexW2964011794MaRDI QIDQ538212

Michael B. Green, Stephen D. Miller, Pierre Vanhove, Jorge G. Russo

Publication date: 24 May 2011

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0163



Related Items

Poisson equations, higher derivative automorphic forms and string parameter limits, Small automorphic representations and degenerate Whittaker vectors, Tropical amplitudes, Loops in exceptional field theory, The two \(\nabla^6R^4\) type invariants and their higher order generalisation, On the modular structure of the genus-one type II superstring low energy expansion, Supergravity divergences, supersymmetry and automorphic forms, Infrared divergences and harmonic anomalies in the two-loop superstring effective action, Fourier coefficients for degenerate Eisenstein series and the descending decomposition, \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series, Higher derivative type II string effective actions, automorphic forms and \(E_{11}\), Entirety of certain cuspidal Eisenstein series on Kac-Moody groups, Exact \(\nabla^{4}\mathcal{R}^{4}\) couplings and helicity supertraces, Gravity, strings, modular and quasimodular forms, Harnessing S-duality in \(\mathcal{N} = 4\) SYM \& supergravity as \(\mathrm{SL}(2, \mathbb{Z})\)-averaged strings, Zhang-Kawazumi invariants and superstring amplitudes, Tetrahedral modular graph functions, Low momentum expansion of one loop amplitudes in heterotic string theory, Residual automorphic forms and spherical unitary representations of exceptional groups, A Higman inequality for regular near polygons, Small representations, string instantons, and Fourier modes of Eisenstein series, String theory dualities and supergravity divergences, Kac–Moody groups and automorphic forms in low dimensional supergravity theories, Whittaker coefficients of metaplectic Eisenstein series, Cancellation of divergences up to three loops in exceptional field theory, \(\epsilon\nabla^{4}R^{4}\) type invariants and their gradient expansion, Stringy KLT relations, global symmetries, and \(E_{7(7)}\)-violation, S-duality of S-matrix, Differential geometry with a projection: application to double field theory, Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality, Fourier coefficients attached to small automorphic representations of \(\operatorname{SL}_n(\mathbb{A})\), On supersymmetric \(E_{11}\) exceptional field theory, Eisenstein series for infinite-dimensional U-duality groups, Parameters, limits and higher derivative type II string corrections, Invariants and divergences in half-maximal supergravity theories, On higher spin realizations of \(K(E_{10})\), Multiparticle one-loop amplitudes and S-duality in closed superstring theory, S-duality improved superstring perturbation theory, Modular forms and SL(2, $\mathbb{Z}$)-covariance of type IIB superstring theory, On \({\mathcal R}^4\) terms and MHV amplitudes in \({\mathcal N}=5,6\) supergravity vacua of type II superstrings, D-instantons, string field theory and two dimensional string theory, Normalization of type IIB D-instanton amplitudes, Perturbative higher-derivative terms in \(\mathcal{N} = 6\) asymmetric orbifolds