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Journal Article

#### Eisenstein series for infinite-dimensional U-duality groups

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##### Fulltext (public)

1204.3043

(Preprint), 617KB

JHEP2012_06_054.pdf

(Any fulltext), 782KB

##### Supplementary Material (public)

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##### Citation

Fleig, P., & Kleinschmidt, A. (2012). Eisenstein series for infinite-dimensional
U-duality groups.* Journal of High Energy Physics,* *2012*(06):
054. Retrieved from http://arxiv.org/abs/1204.3043.

Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-870B-3

##### Abstract

We consider Eisenstein series appearing as coefficients of curvature
corrections in the low-energy expansion of type II string theory four-graviton
scattering amplitudes. We define these Eisenstein series over all groups in the
E_n series of string duality groups, and in particular for the
infinite-dimensional Kac-Moody groups E9, E10 and E11. We show that,
remarkably, the so-called constant term of Kac-Moody-Eisenstein series contains
only a finite number of terms for particular choices of a parameter appearing
in the definition of the series. This resonates with the idea that the constant
term of the Eisenstein series encodes perturbative string corrections in
BPS-protected sectors allowing only a finite number of corrections. We underpin
our findings with an extensive discussion of physical degeneration limits in
D<3 space-time dimensions.