One-loop string corrections to the effective field theory |
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| Affiliation: | 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. Faculty of Physics, Moscow State University, Moscow, 119991, Russia;2. Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia;3. National Research Nuclear University MEPhI, Moscow, 115409, Russia;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. Instituto de Fisica Teorica UAM-CSIC, Cantoblanco, 28049 Madrid, Spain;2. Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA;1. Teoretisk fysik, Karlstads Universitet, Universitetsgatan 21, S-65188, Karlstad, Sweden;2. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G2G1, Canada;3. Fakultät für Mathematik, Universität Wien, Austria;4. Fachbereich Mathematik, Universität Hamburg, Bereich Algebra und Zahlentheorie, Bundesstraße 55, D-20146 Hamburg, Germany;1. St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia;2. Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, Germany |
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| Abstract: | We calculate the parity-conserving one-loop string corrections to the bosonic part of the 10-dimensional effective field theory for the heterotic string. There is no renormalization of the Chamseddine-Chapline-Manton supergravity action, but terms of fourth order in the curvature tensors are generated. Most of these are of the same forms as those found at the tree level of the string topological expansion, such as (TrR2)2, (TrR2)(TrF2) and (TrF2)2. However, we also find a non-zero Tr(F4) coupling which was not present at the tree level. We comment on the phenomenological implications of these results, which include absences of renormalization of the Kähler metric and of the gauge kinetic function of the effective field theory in four dimensions after compactification, and a modification of the classical equations to be obeyed by the manifold of compactification. |
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