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arXiv · 1304.5811

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

Henry H. Kim·Kyu-Hwan Lee
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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 $SL_2(\mathbb Z)$. 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.

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Henry H. Kim, Kyu-Hwan Lee. 2013-04-21. Automorphic correction of the hyperbolic Kac-Moody algebra $E_{10}$. https://doi.org/10.1063/1.4820562

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