Abstract
We consider 6D, N=(1,1) supersymmetric Yang–Mills theory formulated in N=(1,0) harmonic superspace and analyze the structure of the two-loop divergences in the hypermultiplet sector. Using the N=(1,0) superfield background field method we study the two-point supergraphs with the hypermultiplet legs and prove that their total contribution to the divergent part of effective action vanishes off shell.
Highlights
This paper is a continuation and further development of our previous works on the structure of divergences in 6D, N = (1, 0) and N = (1, 1) gauge theories [1, 2, 3].The study of supersymmetric gauge models in higher dimensions attracts much attention due to both their tight links with the superstring/brane stuff and some remarkable properties of them in the quantum domain
In this paper we have investigated the two-loop divergences in 6D, N = (1, 1) SYM theory
We calculated the two-loop divergences of the hypermultiplet two-point function in 6D, N = (1, 0) vector multiplet theory coupled to the hypermultiplet in an arbitrary representation of gauge group
Summary
It is convenient to describe them using the formalism of the harmonic superspace, because N = (1, 0) supersymmetry is a manifest symmetry of the theory at all steps of calculating quantum corrections. This theory possesses the hidden N = (0, 1). In the harmonic superspace approach, 6D, N = (1, 0) SYM theory with the gauge group G and the hypermultiplets in the representation R is described by the action. Where b and c are anticommuting analytic superfields in the adjoint representation of the gauge group, and ∇++c = D++c + i[V ++, c] is the background-covariant derivative. In this paper we will calculate the two-point function of the hypermultiplet which corresponds to the first case only
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