N-string vertex,canonical forms and bosonization |
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| Institution: | 1. Department of Physics, Faculty of Science, Tohoku University, Sendai, Japan;1. Department of Physics, College of General Education, Tohoku University, Sendai, Japan;1. Institute for nuclear research RAS, Moscow, 117312, Russia;2. Institute for Theoretical and Mathematical Physics, MSU, Moscow, 119991, Russia;3. Kurchatov Institute, Moscow, 123182, Russia;4. Department of Particle Physics and Cosmology, Physics Faculty, MSU, 119991 Moscow, Russia;1. Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada;2. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany;1. Center for Liberal Arts and Sciences, Sanyo-Onoda City University, Daigakudori 1-1-1, Sanyo-Onoda Yamaguchi 756-0884, Japan;2. Osaka Central Advanced Mathematical Institute (OCAMI), Osaka Metropolitan University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan;3. Institute for Fundamental Sciences, Faculty of Science and Engineering, Setsunan University, 17-8, Ikedanaka-machi, Neyagawa, Osaka 572-8508, Japan;4. Department of Physics, Nara Women''s University, Nara 630-8506, Japan |
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| Abstract: | We give the field representation of the canonical forms for the operators which generate the projective transformation. This representation is also applicable in formulating the N-string vertex of Lovelace and Olive. It shows that they have the properties of a transition operator. Requiring the same properties for the ghost sector in bosonized form we construct the BRST invariant canonical form and the N-string vertex. We consider the (N − 3) b-ghost insertion. We show that the resulting vertex with (N − 3) parameters corresponding to the location of the ghosts is symmetric with respect to the N strings and it gives the proper integration measure. |
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