Automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$

Abstract

In this paper we study automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$, using the Borcherds product for O(10,2) attached to a weakly holomorphic modular form of weight -4 for $S{L}_2(\mathbb{Z})$. We also clarify some aspects of automorphic correction for Lorentzian Kac-Moody algebras and give heuristic reasons for the expectation that every Lorentzian Kac-Moody algebra has an automorphic correction.

References in corpus (4)

• Constraints and the E10 Coset Model
• Hyperbolic Weyl groups and the four normed division algebras
• E10 and Gauged Maximal Supergravity
• Embeddings of hyperbolic Kac-Moody algebras into ${\mathbf{E}}_{10}$}

Cited by in corpus (1)

• Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras