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Kac-Moody algebras in perturbative string theory

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arxiv hep-th/0207032 v1 pith:BVBCYXRM submitted 2002-07-03 hep-th

Kac-Moody algebras in perturbative string theory

classification hep-th
keywords stringalgebrasperturbativesymmetryclosedkac-moodytheorytype
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    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.