Conformal geometry and string field theory |
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| Affiliation: | 1. Walter Burke Institute for Theoretical Physics, Caltech, Pasadena, CA 91125, USA;2. Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan;3. Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Fohringer Ring 6, 80805 Munchen, Germany;4. Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA;5. Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA;1. Jefferson Physical Laboratory, Harvard University, 17 Oxford Street, Cambridge, MA 02138, USA;2. Department of Physics & Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA;3. Center for Cosmology and Particle Physics, Department of Physics, New York University, New York, NY, 10003, USA;1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan;2. Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132, I-84084 Fisciano (SA), Italy;3. INFN, Sezione di Napoli, Gruppo collegato di Salerno, Italy;4. Dipartimento di Ingegneria, Università di Salerno, Via Giovanni Paolo II, 132, I-84084 Fisciano (SA), Italy;5. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy;6. Institute-Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden, The Netherlands;1. Institute of Physics, Academia Sinica, Taipei 11529, Taiwan;2. Department of Physics and Center for Theoretical Physics, National Taiwan University, Taipei 10617, Taiwan;3. Department of Physics, National Tsing Hua University, Hsinchu 30013, Taiwan |
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| Abstract: | The covariant perturbation theory rules that should arise from any gauge invariant string field theory, such as those proposed on the basis of BRST formalism, are set forth. The resulting path integral expressions naturally produce coordinate invariant densities on the moduli space of Riemann surfaces; these include the Koba-Nielsen amplitudes. The connection between string field theory and modular invariance is discussed, and it is proposed that future explorations in string field theory focus on coordinate invariant quantities on moduli space. |
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