Harmonic superpotentials and symmetries in gauge theories with eight supercharges
Feb, 199921 pages
Published in:
- Nucl.Phys.B 554 (1999) 365-390,
- Nucl.Phys.B 644 (2002) 405-406 (erratum)
e-Print:
- hep-th/9902038 [hep-th]
DOI:
Report number:
- JINR-E2-99-24
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Abstract:
Models of interactions of D-dimensional hypermultiplets and supersymmetric gauge multiplets with \cN=8 supercharges can be formulated in the framework of harmonic superspaces. The effective Coulomb low-energy action for D=5 includes the free and Chern-Simons terms. We consider also the non-Abelian superfield D=5 Chern-Simons action. The biharmonic D=3,\cN=8 superspace is introduced for a description of l and r supermultiplets and the mirror symmetry. The D=2,(4,4) gauge theory and hypermultiplet interactions are considered in the triharmonic superspace. Constraints for D{=}1,\cN{=}8 supermultiplets are solved with the help of the harmonics. Effective gauge actions in the full D{\leq}3,\cN{=}8 superspaces contain constrained (harmonic) superpotentials satisfying the (6-D) Laplace equations for the gauge group U(1) or corresponding (6-D)p-dimensional equations for the gauge groups . Generalized harmonic representations of superpotentials connect equivalent superfield structures of these theories in the full and analytic superspaces. The harmonic approach simplifies the proofs of non-renormalization theorems.Note:
- Formulas of the non-Abelian Chern-Simons 5D action in Sect. 2 are corrected and the note with a new reference added
- 11.30.Pb
- ll.15.Tk
- Harmonic superspace
- Grassmann analyticity
- Prepotential
- Superpotential
- superspace: harmonic
- gauge field theory: Yang-Mills
- supercharge
- Chern-Simons term
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