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A class of Lorentzian Kac-Moody algebras

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abstract

We consider a natural generalisation of the class of hyperbolic Kac-Moody algebras. We describe in detail the conditions under which these algebras are Lorentzian. We also construct their fundamental weights, and analyse whether they possess a real principal so(1,2) subalgebra. Our class of algebras include the Lorentzian Kac-Moody algebras that have recently been proposed as symmetries of M-theory and the closed bosonic string.

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hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Closed string trajectories from a new "tiling"

hep-th · 2026-06-02 · unverdicted · novelty 6.0

A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.

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  • Closed string trajectories from a new "tiling" hep-th · 2026-06-02 · unverdicted · none · ref 28 · internal anchor

    A method constructs closed string trajectories from open string seeds dressed by symplectic algebra generators via Howe duality, with physical states identified by solving Diophantine recursion relations.