Harmonic superspace geometry of (4,4) supersymmetric {sigma} models with torsion
- Bogoliubov Laboratory of Theoretical Physics, JINR, 141 980 Dubna (Russia)
Starting from the dual action of (4,4) two-dimensional (2D) twisted multiplets in the harmonic superspace with two independent sets of SU(2) harmonic variables, we present its generalization which hopefully provides an off-shell description of general (4,4) supersymmetric {sigma} models with torsion. Like the action of the torsionless (4,4) hyper-K{umlt a}hler {sigma} models in the standard harmonic superspace, it is characterized by a number of superfield potentials. They depend on {ital n} copies of a triple of analytic harmonic (4,4) superfields. As distinct from the hyper-K{umlt a}hler case, the potentials prove to be severely constrained by the self-consistency condition which stems from the commutativity of the left and right harmonic derivatives. We show that for {ital n}=1 these constraints reduce the general action to that of the (4,4) twisted multiplet, while for {ital n}{ge}2 there exists a wide class of new actions which cannot be written only via twisted multiplets. Their most strikng feature is the non-Abelian and in general nonlinear gauge invariance which substitutes the Abelian gauge symmetry of the dual action of twisted multiplets and ensures the correct number of physical degrees of freedom. We show, on a simple example, that these actions describe {sigma} models with noncommuting left and right complex structures on the bosonic target. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 278880
- Journal Information:
- Physical Review, D, Vol. 53, Issue 4; Other Information: PBD: Feb 1996
- Country of Publication:
- United States
- Language:
- English
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