Automorphic Forms and Lie Superalgebras

Beschreibung

Neuware -A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry ¿ the symmetry relating fermions and bosons. Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26.The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course. The necessary background is given within chapters or in appendices.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 300 pp. Englisch.

Bestandsnummer des Verkäufers 9781402050091

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Bibliografische Details

Titel

Automorphic Forms and Lie Superalgebras

Verlag

Springer Netherlands, Springer Netherlands Nov 2006

Erscheinungsjahr

2006

Sprache

Englisch

ISBN-10

1402050097

ISBN-13

9781402050091

Einband

Buch

Zustand

Neu

Abmessungen

241B x 160 H x 21 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 21 mm

Gewicht

617 Gramm

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