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Chiral U(1) anomaly in D=4 super Yang-Mills theory coupled to supergravity
Institution:1. Department of Chemical Engineering, Feng Chia University, 100, Wenhwa Road, Seatwen, Taichung 40724, Taiwan, ROC;2. Department of Aerospace and Systems Engineering, 100, Wenhwa Road, Seatwen, Taichung 40724, Taiwan, ROC;3. Department of Materials Science and Engineering, National Taiwan University of Science and Technology, 43, Sec. 4, Keelung Road, Taipei 106, Taiwan, ROC;4. Institute of Physics, Academia Sinica, 128 Academia Road, Section 2, Nankang, Taipei 11529, Taiwan, ROC;1. College of Economics & Management, Huazhong Agricultural University, Wuhan 430070, P.R.China;2. Institute of Agricultural and Resource Economics, University of Agriculture Faisalabad, Faisalabad 38000, Pakistan;3. The Management School, Lancaster University, LA1 4YX, United Kingdom;1. Center for Green Innovation, Beijing Advanced Innovation Center for Materials Genome Engineering, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;2. Pillar of Engineering Product Development, Singapore University of Technology and Design, 487372, Singapore;3. School of Chemistry, Beihang University, Beijing 100191, China;1. Department of Engineering, Aarhus University, Inge Lehmanns Gade 10, 8000 Aarhus C, Denmark;2. Institute for Automation and Applied Informatics, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany;1. School of Biological Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;2. USM-RIKEN International Centre for Aging Science (URICAS), School of Biological Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia;3. School of Life Sciences, University of Warwick, Coventry, UK;4. Biological Resources and Post-Harvest Division, Japan International Research Center for Agricultural Sciences (JIRCAS), 1-1 Ohwashi, Tsukuba, Ibaraki 305-8686, Japan;5. University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, Japan;1. Chongqing 2D Materials Institute, Liangjiang New Area, Chongqing 400714, China;2. Faculty of Materials Science and Engineering, K. N. Toosi University of Technology, Tehran, Iran;3. Key Laboratory of Optoelectronic Technology & System Ministry of Education, Chongqing University, Chongqing, 40044, China;4. College of Materials Science and Engineering, Beijing University of Chemical Technology, Beijing, China
Abstract:We evaluate the chiral U(1) anomaly in D=4 supersymmetric Yang-Mills theory coupled to supergravity. We consider not only the minimal coupling between the gauge fields and fermions but also the interaction term which mixes the gravitino and the gaugino. We show that the mixing interaction gives new contributions to the anomaly.
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