Kac-Moody algebras in perturbative string theory. (English) Zbl 1226.81190
Summary: The conjecture that M-theory has the rank eleven Kac-Moody symmetry \(e_{11}\) 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
References:
| [1] | doi:10.1016/0550-3213(84)90388-2 · doi:10.1016/0550-3213(84)90388-2 |
| [3] | doi:10.1103/PhysRevD.30.325 · doi:10.1103/PhysRevD.30.325 |
| [4] | doi:10.1016/0370-2693(83)90168-5 · doi:10.1016/0370-2693(83)90168-5 |
| [5] | doi:10.1016/0550-3213(84)90472-3 · doi:10.1016/0550-3213(84)90472-3 |
| [6] | doi:10.1016/0550-3213(83)90192-X · doi:10.1016/0550-3213(83)90192-X |
| [7] | doi:10.1016/0370-2693(78)90894-8 · Zbl 1156.83327 · doi:10.1016/0370-2693(78)90894-8 |
| [13] | doi:10.1016/S0370-2693(01)01044-9 · Zbl 0971.83085 · doi:10.1016/S0370-2693(01)01044-9 |
| [15] | doi:10.1016/0550-3213(95)00158-O · Zbl 0990.81663 · doi:10.1016/0550-3213(95)00158-O |
| [16] | doi:10.1016/0370-2693(95)01138-G · doi:10.1016/0370-2693(95)01138-G |
| [17] | doi:10.1016/0370-2693(95)01405-5 · doi:10.1016/0370-2693(95)01405-5 |
| [20] | doi:10.1016/0550-3213(96)00172-1 · Zbl 1003.81531 · doi:10.1016/0550-3213(96)00172-1 |
| [25] | doi:10.1016/S0550-3213(01)00415-1 · Zbl 0974.83047 · doi:10.1016/S0550-3213(01)00415-1 |
| [26] | doi:10.1016/0550-3213(86)90288-9 · doi:10.1016/0550-3213(86)90288-9 |
| [28] | doi:10.1016/S0550-3213(97)00583-X · Zbl 0953.17012 · doi:10.1016/S0550-3213(97)00583-X |
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