Non-Abelian electric-magnetic duality with supersymmetry in 4D and 10D

作者：Nishino Hitoshi; Rajpoot Subhash

来源：PHYSICAL REVIEW D, 2015, 92(8): 085014.

DOI：10.1103/PhysRevD.92.085014

We present electric-magnetic (Hodge) duality formulation for non-Abelian gauge groups with N = 1 supersymmetry in 3 + 1 (4D) dimensions. Our system consists of three multiplets: (i) A super-Yang-Mills vector multiplet (YMVM) (A mu(I), lambda(I)), (ii) a dual vector multiplet (DVM) (B mu(I),chi(I)), and (iii) an unphysical tensor multiplet (TM) (C-mu nu(I), rho(I), phi(I)), with the index I for adjoint representation. The multiplets YMVM and DVMare dual to each other like: G(mu nu)(I) = (1/2)epsilon F-rho sigma(mu nu)rho sigma(I). The TM is unphysical, but still plays an important role for establishing the total consistency of the system, based on recently developed tensor-hierarchy formulation. We also apply this technique to non-Abelian electric-magnetic duality in 9 + 1 (10D) dimensions. The extra bosonic auxiliary field K-mu 1 ...mu 6 in 10D is shown to play an important role for the closure of supersymmetry on fields.

• 出版日期2015-10-12