Twisting the fake monster superalgebra
Nils R. Scheithauer
TL;DR
This paper computes twisted denominator identities of the fake monster superalgebra, leading to the construction of new supersymmetric generalized Kac-Moody superalgebras and novel infinite product identities.
Contribution
It introduces new twisted denominator identities and constructs previously unknown supersymmetric generalized Kac-Moody superalgebras.
Findings
New infinite product identities derived from denominator identities
Construction of new supersymmetric generalized Kac-Moody superalgebras
Extension of the fake monster superalgebra framework
Abstract
We calculate twisted denominator identities of the fake monster superalgebra and use them to construct new examples of supersymmetric generalized Kac-Moody superalgebras. Their denominator identities give new infinite product identities.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons