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- W2111037066 abstract "Briefly: using a novel (1, 1) superspace formulation of semichiral sigma models with 4D target space, we investigate if an extended supersymmetry in terms of semichirals is compatible with having a 4D target space with torsion. In more detail: semichiral sigma models have (2, 2) supersymmetry and Generalized Kähler target space geometry by construction. They can also support (4, 4) supersymmetry and Generalized Hyperkähler geometry, but when the target space is four dimensional indications are that the geometry is restricted to Hyperkähler. To investigate this further, we reduce the model to (1, 1) superspace and construct the extra (on-shell) supersymmetries there. We then find the conditions for a lift to (2, 2) super space and semichiral fields to exist. Those conditions are shown to hold for Hyperkähler geometries. The SU(2) ⊗ U(1) WZW model, which has (4, 4) supersymmetry and a semichiral description, is also investigated. The additional supersymmetries are found in (1, 1) superspace but shown not to be liftable to a (2, 2) semichiral formulation." @default.
- W2111037066 created "2016-06-24" @default.
- W2111037066 creator A5012716617 @default.
- W2111037066 date "2015-02-01" @default.
- W2111037066 modified "2023-09-26" @default.
- W2111037066 title "Extended supersymmetry of semichiral sigma models in 4D" @default.
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- W2111037066 doi "https://doi.org/10.1007/jhep02(2015)170" @default.
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