Explicit construction of conserved currents for massless fields of arbitrary spin |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science, Ain Shams University, 11566, Cairo, Egypt;2. Department of Physics, Santa Clara University, Santa Clara, CA 95053, USA;3. Department of Physics, Cairo University, Giza, 12613, Egypt;4. Department of Physics, Faculty of Science, Benha University, Benha, 13518, Egypt;5. Essex County College, 303 University Ave, Newark, NJ 07102, United States;6. Department of Physics, College of Science, Kuwait University, Sabah Al Salem University City, P.O. Box 2544, Safat 1320, Kuwait;1. School of Life Sciences, Henan University, Kaifeng, Henan 475004, China;2. Baotianman Natural Reserve Administration, Neixiang, Henan 474350, China;3. Key Laboratory of Forest Ecology and Environment, National Forestry and Grassland Administration, Institute of Forest Ecology, Environment and Protection, Chinese Academy of Forestry, Beijing 100091, China;1. Department of Orthopedics, Renmin Hospital of Wuhan University, Wuhan 430060, PR China;2. Department of Pharmacy, Renmin Hospital of Wuhan University, Wuhan 430060, PR China;3. Key Laboratory of Combinatorial Biosynthesis and Drug Discovery, Ministry of Education, School of Pharmaceutical Sciences, Wuhan University, Wuhan 430071, PR China;4. Wuhan National High Magnetic Field Center, Huazhong University of Science and Technology, Wuhan 430074, PR China;5. State Key Laboratory of Advanced Electromagnetic Engineering and Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China;1. Università del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. - sezione di Lecce, Via Arnesano, I-73100 Lecce, Italy;2. Blackett Laboratory, Imperial College London, SW7 2AZ, UK |
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| Abstract: | We give an explicit construction of conserved currents for massless fields of arbitrary spin. These currents are gauge invariant and conserved on shell. Also they allow for the construction of a large class of trilinear interaction terms for the interaction between a massless spin-s1 field and two spin-s2 fields. The class is restricted only to 2s2⩽s1. In case s1 = 4 and s2 = 2, the current is the linearized Bel-Robinson tensor. To these conserved currents corresponds an infinite dimensional Lie algebra of global infinitesimal invariances of the action of a free massless field of arbitrary spin. |
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