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N-Superstring vertex and the vertex operator for the emission of the superstring
Affiliation:1. Department of Physics, Faculty of Science, Tohoku University, Sendai, Japan;2. Department of Physics, College of General Education, Tohoku University, Sendai, Japan;1. MIPT, Dolgoprudny, 141701, Russia;2. Lebedev Physics Institute, Moscow 119991, Russia;3. NRC “Kurchatov Institute”, 123182, Moscow, Russia;4. Institute for Information Transmission Problems, Moscow 127994, Russia;1. Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, Brazil;2. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, Brazil
Abstract:The BRST invariant, supersymmetric N-string vertex which applies to both, the Neveu-Schwarz and Ramond sector of the superstring is formulated using the vertex operator for the emission of a superstring. It is shown that the N-superstring vertex thus obtained is cyclic symmetric when GSO projected on-shell states and operators for the external strings are applied. The constraint equations of this vertex and their singularity structure are examined and we show that this vertex also has the required property of a transition operator. We also give a proof of its BRST invariance and supersymmetry.
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