Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors

DOI10.4310/CNTP.2014.v8.n1.a2zbMath1304.81134arXiv1312.3643OpenAlexW2118676256MaRDI QIDQ470328

Philipp Fleig, Axel Kleinschmidt, Daniel Persson

Publication date: 12 November 2014

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

Full work available at URL: https://arxiv.org/abs/1312.3643

zbMATH Keywords

instantonsscattering amplitudesEisenstein seriesautomorphic formsmoduli spacesstring theoryFourier coefficientsWhittaker vectorsKac-Moody groops

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) (2)-body potential quantum scattering theory (81U05) Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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