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- W3011122805 abstract "Abstract We propose a new action-formulation for the N = ( 1 , 1 ) multiplet ( A μ I , λ I ) of a self-dual (SD) supersymmetric Yang-Mills (YM) theory in D = 2 + 2 dimensions using an auxiliary supergravity multiplet. We first consider non-supersymmetric case with constraint lagrangians that restrict the metric g μ ν to be ( η μ ν ) = diag. ( + , + , − , − ) . We add the kinetic-term of a purely-bosonic YM-field, and show that the YM-field in the D = 2 + 2 space-time allows only SD or anti-SD (ASD) configurations. In other words, the condition of vanishing energy-momentum (EM) tensor restricts the YM-field to be either SD or ASD, but not an admixture of them. Finally, we generalize this result to N = ( 1 , 1 ) supersymmetric YM multiplet ( A μ I , λ I ; D I ) in D = 2 + 2 with the off-shell supergravity multiplet ( e μ m , ψ μ ; S , P , a m ) as an ‘auxiliary’ multiplet without its kinetic terms. Special constraint lagrangians restrict the supergravity multiplet to be auxiliary, i.e., both the Riemann-tensor and the gravitino field strength to vanish. We show that the e μ m and ψ μ -field equations produce the vanishings of both the EM-tensor and spinor-current, which in turn lead only to either SD or ASD supersymmetric YM multiplet, as the only Lorentz and gauge-covariant supersymmetric solutions. A broad class of similar action-formulations with auxiliary supergravity multiplets yielding SD or ASD systems in D = 2 + 2 or higher-dimensions may be constructed in a similar fashion." @default.
- W3011122805 created "2020-03-23" @default.
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- W3011122805 date "2020-05-01" @default.
- W3011122805 modified "2023-10-16" @default.
- W3011122805 title "Manifestly-invariant action for self-dual supersymmetric Yang-Mills theories coupled to auxiliary supergravity" @default.
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- W3011122805 doi "https://doi.org/10.1016/j.nuclphysb.2020.114993" @default.
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