Properties of semichiral superfields
May, 1999
17 pages
Published in:
- Nucl.Phys.B 562 (1999) 277-290
e-Print:
- hep-th/9905141 [hep-th]
Report number:
- VUB-TENA-99-03
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Abstract:
Whenever the N=(2,2) supersymmetry algebra of non-linear sigma-models in two dimensions does not close off-shell, a holomorphic two-form can be defined. The only known superfields providing candidate auxiliary fields to achieve an off-shell formulation are semi-chiral fields. Such a semi-chiral description is only possible when the two-form is constant. Using an explicit example, hyper-Kahler manifolds, we show that this is not always the case. Finally, we give a concrete construction of semi-chiral potentials for a class of hyper-Kahler manifolds using the duality exchanging a pair consisting of a chiral and a twisted-chiral superfield for one semi-chiral multiplet.Note:
- LaTeX, 17 pages Report-no: VUB/TENA/99/03
- 11.30.Pb
- 02.40.-k
- 02.40.−k
- sigma model: nonlinear
- supersymmetry: superfield
- dimension: 2
- field theory: chiral
- field theory: Kaehler
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