Beltrami parametrization and gauged BRST symmetry for the free bosonic string |
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| Institution: | 1. School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran;2. Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran;1. London Institute, Royal Institution of GB, 21 Albemarle St, London, W1S 4BS, UK;2. Merton College, University of Oxford, OX1 4JD, UK;3. Department of Mathematics, University of London, London, EC1V0HB, UK;4. School of Physics, NanKai University, Tianjin, 300071, PR China;5. Faculdade de Ciencias, Universidade do Porto, 687 Rua do Campo Alegre, Porto, Portugal;6. Department of Physics & Astronomy, University of Nebraska, Lincoln, NE, Porto, 68588-0299, USA |
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| Abstract: | The BRST symmetry for the free bosonic string in the Beltrami parametrization is gauged via a Noether procedure. The resulting local BRST symmetry is characterized by a (localized) differential algebra which is shown to be isomorphic to the (global) BRST algebra one starts from. The corresponding locally invariant gauge-fixed action which exhibits the factorization property is constructed, and a form for the (perturbative BRST current-algebra) anomaly, associated with the localized differential algebra is given. The equivalence between the Noether localization procedure presented here and a procedure which mimics the direct “geometrical” gauging of the BRST symmetry for the Yang-Mills theory is shown. |
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