Quantum strings and superstrings. (English) Zbl 1139.81380
Summary: In the first sections of this paper we give an elementary but rigorous approach to the construction of the quantum Bosonic and supersymmetric string system continuing the analysis of Dimock. This includes the construction of the DDF operators without using the vertex algebras. Next we give a rigorous proof of the equivalence between the lightV cone and the covariant quantization methods. Finally, we provide a new and simple proof of the BRST quantization for these string models.
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 |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81T70 | Quantization in field theory; cohomological methods |
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