We compactify the abelian 6d (1,0) tensor multiplet on a circle bundle, thus reducing the theory down to 5d SYM while keeping all the KK modes. This abelian classical field theory, when interpreted suitably, has a nonlocal superconformal symmetry. Furthermore, a nonabelian generalization, where all the KK modes are kept, is possible for the nonlocal superconformal symmetry, whereas for the local superconformal symmetry we can only realize a subgroup.
Field Theories in Higher Dimensions M-Theory Supersymmetric Gauge Theory
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K.-M. Lee and J.-H. Park, 5-D actions for 6-D selfdual tensor field theory, Phys. Rev.D 64 (2001) 105006 [hep-th/0008103] [INSPIRE].