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**Harvard**

Bao, L. och Carbone, L. (2017) *Kac–moody groups and automorphic forms in low dimensional supergravity theories*.

** BibTeX **

@article{

Bao2017,

author={Bao, Ling and Carbone, Lisa},

title={Kac–moody groups and automorphic forms in low dimensional supergravity theories},

journal={Contemporary Mathematics},

issn={02714132},

volume={695},

pages={29-40},

abstract={Kac–Moody groups G over ? have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms G(?) conjecturally encode quantized symmetries. In this review paper, we briefly introduce the conjectural symmetries of Kac–Moody groups in supergravity as well as the known evidence for these conjectures. We describe constructions of Kac–Moody groups over ? and ? using certain choices of fundamental modules that are considered to have physical relevance. Eisenstein series on certain finite dimensional algebraic groups are known to encode quantum corrections in the low energy limit of superstring theories. We describe briefly how the construction of Eisenstein series extends to Kac–Moody groups. The constant terms of Eisenstein series on E9, E10 and E11 are predicted to encode perturbative string theory corrections.},

year={2017},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 253089

A1 Bao, Ling

A1 Carbone, Lisa

T1 Kac–moody groups and automorphic forms in low dimensional supergravity theories

YR 2017

JF Contemporary Mathematics

SN 02714132

VO 695

SP 29

OP 40

AB Kac–Moody groups G over ? have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms G(?) conjecturally encode quantized symmetries. In this review paper, we briefly introduce the conjectural symmetries of Kac–Moody groups in supergravity as well as the known evidence for these conjectures. We describe constructions of Kac–Moody groups over ? and ? using certain choices of fundamental modules that are considered to have physical relevance. Eisenstein series on certain finite dimensional algebraic groups are known to encode quantum corrections in the low energy limit of superstring theories. We describe briefly how the construction of Eisenstein series extends to Kac–Moody groups. The constant terms of Eisenstein series on E9, E10 and E11 are predicted to encode perturbative string theory corrections.

LA eng

DO 10.1090/conm/695/13993

LK http://dx.doi.org/10.1090/conm/695/13993

OL 30