The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.
Nonabelian Generalized Gauge Multiplets
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We give the nonabelian extension of the newly discovered N = (2, 2) two-dimensional vector multiplets. These can be used to gauge symmetries of sigma models on generalized Kahler geometries. Starting from the transformation rule for the nonabelian case we find covariant derivatives and gauge covariant field-strengths and write their actions in N = (2, 2) and N = (1, 1) superspace.
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The Large Vector Multiplet and Gauging $(2,2)$ $\sigma$-models
The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.