Conformal field theory and the symmetries of string field theory |
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| Institution: | 1. International Center for Quantum Materials and School of Physics, Peking University, Beijing 100871, China;2. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;3. CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China;4. Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China;1. Institute for Advanced Study, Tsinghua University, Beijing 100084, China;2. Department of Physics, University of California, San Diego, CA 92093, USA;1. Philippe Meyer Institute, Physics Department, École Normale Supérieure, PSL Research University, 24 rue Lhomond, F-75231 Paris Cedex 05, France;2. University of Graz, Institute for Physics, A-8010 Graz, Austria |
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| Abstract: | The two-dimensional conformal field theory representation of Witten's bosonic string field theory is discussed. The basic overlap equations, Kn symmetry and BRST invariance are proved directly, without the usual expansion in oscillators. The conformal field theory approach naturally provides local overlap identities which (when integrated over half the string) can be used to verify properties of the cubic action. In particular, a recently proposed diffeomorphism invariance is shown to be free of anomalies. Finally, a new class of symmetries, including generalizations of the Kn symmetries which are local in spacetime, are presented. |
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