On the imaginary simple roots of the Borcherds algebra \(\mathfrak g_{\text{II}_{9,1}}\)

DOI10.1016/S0550-3213(97)00583-XzbMath0953.17012arXivhep-th/9705144OpenAlexW1544101910MaRDI QIDQ1569653

Oliver Bärwald, Hermann Nicolai, Reinhold W. Gebert

Publication date: 3 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9705144

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (6)

COSMOLOGICAL SINGULARITIES, EINSTEIN BILLIARDS AND LORENTZIAN KAC–MOODY ALGEBRAS ⋮ E\(_{11}\) as E\(_{10}\) representation at low levels ⋮ Kac-Moody algebras in perturbative string theory ⋮ Borcherds algebras and \( \mathcal{N} = 4 \) topological amplitudes ⋮ Automorphic correction of the hyperbolic Kac-Moody algebra E10 ⋮ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>and a Small Tension Expansion of M Theory

Cites Work

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• The monster Lie algebra
• Generalized Kac-Moody algebras
• Missing modules, the gnome Lie algebra and \(E_{10}\)
• Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
• Monstrous moonshine and monstrous Lie superalgebras
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Algebras, BPS states, and strings
• MULTISTRING VERTICES AND HYPERBOLIC KAC-MOODY ALGEBRAS

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