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Harmonic superpotentials and symmetries in gauge theories with eight supercharges | B.M. Zupnik
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4 Feb 1999 | Journal: | Nucl.Phys. B554 (1999) 365-390; Erratum-ibid. B644 (2002) 405-406 | Subject: | hep-th | Abstract: | Models of interactions of D-dimensional hypermultiplets and supersymmetric gauge multiplets with $cN=8$ supercharges $(D{leq} 6)$ 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 $SU(2){ imes}Spin(5)$ 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 $[U(1)]^p$. 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. | Source: | arXiv, hep-th/9902038 | Services: | Forum | Review | PDF | Favorites |
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