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The \((1, 0)\) tensor and hypermultiplets in loop space. (English) Zbl 07926595

Summary: We show that the \((1, 0)\) tensor and hypermultiplet supersymmetry variations can be uplifted to loop space. Upon dimensional reduction we make contact with abelian five-dimensional super Yang-Mills, which has a nonabelian generalization that we subsequently uplift back to loop space where we conjecture a nonabelian generalization of the \((1, 0)\) supersymmetry variations and demonstrate their on-shell closure.

MSC:

81Txx Quantum field theory; related classical field theories
53Cxx Global differential geometry
83Exx Unified, higher-dimensional and super field theories

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