General covariance and open string interactions |
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| Affiliation: | 1. Institute for Advanced Study, Princeton, NJ p73214 08540, USA;1. Dipartimento di Fisica, Università della Calabria, Arcavacata di Rende I-87036, Cosenza, Italy;2. INFN, Gruppo collegato di Cosenza, Arcavacata di Rende, I-87036, Cosenza, Italy;3. Department of Physics and Astronomy and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, B.C., Canada, V6T, 1Z1;1. Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan;2. Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-Ku, Kyoto, Japan |
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| Abstract: | It has been suggested that Witten's open string cubic interaction is independent of the background geometry. We investigate this suggestion in detail with a view to understanding the rôle of closed strings in Witten's open string field theory. The standard oscillator formulation of the vertex requires the use of a metric, if it is to be generally covariant, indicating that closed string interactions are required. However by changing to variables better suited to treating the midpoint, we show explicitly that it is possible to transform away all reference to the background metric. This supports the assertion that the cubic action (of Horowitz, Lykken, Rohm and Strominger) can also describe closed strings. |
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