Canonical BRST quantisation of worldsheet gravities |
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| Institution: | 1. Blackett Laboratory, Imperial College, London SW7 2BZ, UK;2. Center for Theoretical Physics, Department of Physics, Texas A & M University, College Station, TX 77843-4242, USA;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. 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 reformulate the BRST quantisation of chiral Virasoro and W3 worldsheet gravities. Our approach follows directly the classic BRST formulation of Yang-Mills theory in employing a derivative gauge condition instead of the conventional conformal gauge condition, supplemented by an introduction of momenta in order to put the ghost action back into first-order form. The consequence of these simple changes is a considerable simplification of the BRST formulation, the evaluation of anomalies and the expression of Wess-Zumino consistency conditions. In particular, the transformation rules of all fields now constitute a canonical transformation generated by the BRST operator Q, and we obtain in this reformulation a new result that the anomaly in the BRST Ward identity is obtained by application of the anomalous operator Q2, calculated using operator products, to the gauge fermion. |
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