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Supersymmetric chiral normal coordinates
Institution:1. Department of Physics and Astronomy, University of Iowa, 203 Van Allen Hall, Iowa City, IO 52242-1479, USA;2. Laboratory of Particle Physicsand Cosmology, École polytechnique fédérale de Lausanne, BSP 730, Rte de la Sorge, CH-1015 Lausanne, Switzerland;3. Physics Department, Brookhaven National Laboratory, Upton, NY 11793, USA;1. School of Physics and Astronomy, University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, UK;2. Physikalisches Institut, Eberhard-Karls-Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany;3. Kepler Center for Astro and Particle Physics, University of Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany;4. Department of Physics, Tomsk State University, 36 Lenina Avenue, Tomsk 634050, Russia;1. Department of Theoretical Physics, Tomsk State Pedagogical University, 634061, Tomsk, Russia;2. National Research Tomsk State University, 634050, Tomsk, Russia;3. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia;4. Division of Experimental Physics, Tomsk Polytechnic University, 634050, Tomsk, Russia;5. Moscow State University, Faculty of Physics, Department of Theoretical Physics, 119991, Moscow, Russia;1. Theoretical Physics Division, Variable Energy Cyclotron Centre, 1/AF, Bidhan Nagar, Kolkata 700064, India;2. Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271, 01140-070 Sao Paulo, SP, Brazil;3. Department of Physics and Astronomy, University of Catania, Via Santa Sofia 64, 1-95125 Catania, Italy;4. Laboratori Nazionali del Sud, INFN-LNS, Via Santa Sofia 62, I-95123 Catania, Italy;1. Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, MA, USA;1. John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738 Zeuthen, Germany;2. Institut für Physik, Humboldt Universität, Newtonstr. 15, 12489 Berlin, Germany
Abstract:The (anti-) chiral Killing vectors of the supersymmetric Kähler manifold associated with the nonlinear realization of a global symmetry are used to define (anti-) chiral normal coordinates. This in turn leads to a background superfield expansion of the super-Kähler potential that is manifestly gauge invariant and supersymmetric. The chiral normal coordinates are further employed to construct a background superfield expansion for a locally gauge invariant supersymmetric action.
Keywords:
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