Zilch currents,supersymmetry and Kaluza-Klein consistency |
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| Institution: | 1. CEMS, RIKEN, 2-1 Hirosawa, Wako-shi, Saitama 351-0198, Japan;2. Nonlinear Physics Centre, RSPE, The Australian National University, Canberra, ACT 00200, Australia;3. CFTP, Instituto Superior Técnico, Universidade de Lisboa, Lisbon 1049-001, Portugal;4. EMAT, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium;5. School of Physics and Astronomy, Monash University, VIC 3800, Australia;6. The Institute of Optics, University of Rochester, Rochester, NY 14627, USA;7. TU Wien, University Service Centre for Electron Microscopy, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria;8. Physics Department, University of Michigan, Ann Arbor, MI 48109-1040, USA |
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| Abstract: | We give a simple explanation for the fact that one can always perform a consistent truncation of a normal second-order Kaluza-Klein supergravity theory to the irreducible massless graviton supermulitplet. The basic reason for consistency is the highly restrictive requirement that massive fields of spins s⩾1 couple at lowest order to conserved currents constructed from field strengths of the massless fields. Inparticular, one understands in this way the consistency of the truncation of D=11 supergravity compactified on the seven-sphere to d=4, N=8 gauged supergravity. |
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