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Kac-Moody algebras in perturbative string theory

2002/07/03 by Matthias R Gaberdiel, Peter C West · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/08/049

published as JHEP 0208 (2002) 049 · 31 pages, harvmac (b), 4 eps-figures

arxiv created 2002/07/03 · openalex publication_date 2002/08/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The conjecture that M-theory has the rank eleven Kac-Moody symmetry e11 implies that Type IIA and Type IIB string theories in ten dimensions possess certain infinite dimensional perturbative symmetry algebras that we determine. This prediction is compared with the symmetry algebras that can be constructed in perturbative string theory, using the closed string analogues of the DDF operators. Within the limitations of this construction close agreement is found. We also perform the analogous analysis for the case of the closed bosonic string.

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