Kac--Moody groups and automorphic forms in low dimensional supergravity theories

  title={Kac--Moody groups and automorphic forms in low dimensional supergravity theories},
  author={Ling Bao and Lisa Carbone},
  journal={arXiv: High Energy Physics - Theory},
Kac--Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms $G(\mathbb{Z})$ 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 $\R$ and $\Z$ using certain choices of… 

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