1999/02/28 by Б. М. Зупник, B. M. Zupnik · 68 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Gauge group #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Physics #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1016/s0550-3213(99)00267-9
published in Nuclear Physics B 554(1-2), 365-390 (Elsevier BV) · Formulas of the non-Abelian Chern-Simons 5D action in Sect. 2 are corrected and the note with a new reference added
openalex publication_date 1999/08/01 · arxiv created 2002/09/17 · arxiv updated 2017/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Models of interactions of D-dimensional hypermultiplets and supersymmetric gauge multiplets with N=8 supercharges (D≤ 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,N=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,N=8 supermultiplets are solved with the help of the SU(2)×Spin(5) harmonics. Effective gauge actions in the full D≤3,N=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.