Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-14
Physics
High Energy Physics
High Energy Physics - Theory
80 pages. 1 figure. v2:Typos corrected, footnotes amended and small clarifications. v3: minor corrections. Version to appear i
Scientific paper
This paper explores the moduli-dependent coefficients of higher derivative interactions that appear in the low-energy expansion of the four-graviton amplitude of maximally supersymmetric string theory compactified on a d-torus. These automorphic functions are determined for terms up to order D^6R^4 and various values of d by imposing a variety of consistency conditions. They satisfy Laplace eigenvalue equations with or without source terms, whose solutions are given in terms of Eisenstein series, or more general automorphic functions, for certain parabolic subgroups of the relevant U-duality groups. The ultraviolet divergences of the corresponding supergravity field theory limits are encoded in various logarithms, although the string theory expressions are finite. This analysis includes intriguing representations of SL(d) and SO(d,d) Eisenstein series in terms of toroidally compactified one and two-loop string and supergravity amplitudes.
Green Michael B.
Russo Jorge G.
Vanhove Pierre
No associations
LandOfFree
Automorphic properties of low energy string amplitudes in various dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Automorphic properties of low energy string amplitudes in various dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Automorphic properties of low energy string amplitudes in various dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-568693