Gauging N = 2 sigma models in harmonic superspace |
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| Affiliation: | 1. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA;2. Institute of Nuclear Physics, Academy of Science, UzSSR, Tashkent, USSR;3. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR;4. CERN Theory Division, 1211 Geneva 23, Switzerland;1. Theoretical Physics Department, CERN, Geneva, Switzerland;2. Department of Physics, University of California, Berkeley, CA 94720, USA;3. Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;4. Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China;5. Kavli IPMU (WPI), UTIAS, University of Tokyo, Kashiwa, Chiba 277-8583, Japan;6. Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China;7. Department of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan;1. INFN Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, I-50019, Italia;2. Università di Pisa and INFN Sezione di Pisa, Largo Pontecorvo 3, Pisa, I-56127, Italia;3. Department of Mathematics, Faculty of Science and Engineering, Swansea University, Fabian Way, Swansea, SA1 8EN, Wales, UK;4. School of Mathematics and Hamilton Mathematics Institute, Trinity College, Dublin 2, Ireland;5. Centre for Mathematical Sciences, University of Plymouth, Plymouth, PL4 8AA, UK |
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| Abstract: | We construct the general minimal coupling of N = 2 Yang-Mills fields to N = 2 sigma models in flat and curved harmonic superspace. We show that the complete symmetry group of the matter action can always be gauged in curved space. In flat space, we find that the gauging can be blocked by a local obstruction. We give a number of examples based on homogeneous quaternionic spaces and on quaternionic generalizations of the Taub-NUT and Eguchi-Hanson metrics. |
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