New D = 10, N = 1 superspace supergravity and local symmetries of superstrings |
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| Affiliation: | 1. State Key Laboratory of Oral Diseases, West China School of Stomatology, Sichuan University, Chengdu, People''s Republic of China;2. National Engineering Laboratory for Oral Regenerative Medicine, West China School of Stomatology, Sichuan University, Chengdu, People''s Republic of China;3. Department of Oral and Maxillofacial Surgery, West China School of Stomatology, Sichuan University, Chengdu, People''s Republic of China;4. Department of Pedodontics, West China School of Stomatology, Sichuan University, Chengdu, People''s Republic of China;1. University of Bucharest, Faculty of Mathematics and Computer Science, Str. Academiei 14, Bucharest 1, RO-010014, Romania;2. Institute of Mathematics of the Romanian Academy, PO-Box 1-764 RO-014700, Bucharest, Romania;1. Departamento de Matemática, Universidade Federal de Santa Catarina, CAPES–PNPD, Florianópolis-SC, Brazil;2. Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA;3. Facultad de Matemática, Astronomía, Física y Computación, Universidad Nacional de Córdoba, CIEM-CONICET, Córdoba, Argentina;4. Department of Mathematical Sciences, United States Military Academy, West Point, NY 10996, USA;5. Department of Mathematics, Temple University, Philadelphia, PA 19122, USA;1. Fachbereich Mathematik und Informatik, Universität Münster, Einsteinstraße 62, 48149 Münster, Germany;2. Fachbereich Mathematik und Informatik, Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany;3. Institut de mathématiques de Jussieu-Paris Rive Gauche, UMR 7586 du CNRS, Université Paris Diderot, 75013 Paris, France;4. School of Mathematics and Statistics, University of Sheffield, S3 7RH, England, United Kingdom |
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| Abstract: | The superspace formulation of new D = 10, N = 1 supergravity is developed. It is shown that the background superspace of the new theory can be coupled to a test superstring in such a way that the local symmetries of the superstring are intact. This formulation necessarily makes use of the Vainberg construction so the action is analogous to the effective action for QCD with the WZW term. The results suggest that the ambiguity between the massless two-form and six-form in the SO(32) or E8 × E8 superstring theories can only be resolved by a gauge invariant, Lorentz-covariant formulation of superstring field theory. |
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