Abstract
We consider the six-dimensional hypermultiplet, vector and tensor multiplet models in (1,0) harmonic superspace and discuss the corresponding superfield actions. The actions for free (2,0) tensor multiplet and for interacting vector/tensor multiplet system are constructed. Using the superfield formulation of the hypermultiplet coupled to the vector/tensor system we develop an approach to calculation of the one-loop superfield effective action and find its divergent structure.
Highlights
The construction of the non-Abelian (1, 0) and (2, 0) superconformal theories in 6D has attracted much attention for a long time
We begin with a harmonic superspace reformulation of the results of the paper [10], we propose the superfield action for the superconformal models of tensor hierarchy and, using the results of the section 5, we derive the component structure of the superfield action and show that it coincides with the component Lagrangian which was constructed in [6]
We have considered the superfield formulations of a class of six dimensional supersymmetric models related to the low-energy dynamics of M5 branes
Summary
The construction of the non-Abelian (1, 0) and (2, 0) superconformal theories in 6D has attracted much attention for a long time (see e.g. [1], [2]). Superfield formulation of the tensor hierarchy has been studied in the paper [10] where a set of constraints on the super-(p + 1)-form field strengths of non-Abelian super-pform potentials in (1,0) D6 superspace has been proposed. In this paper we are going to demonstrate that a harmonic superspace formalism can be efficiently implemented for the superfield Lagrangian construction of the tensor hierarchy models. We begin with a harmonic superspace reformulation of the results of the paper [10], we propose the superfield action for the superconformal models of tensor hierarchy and, using the results of the section 5, we derive the component structure of the superfield action and show that it coincides with the component Lagrangian which was constructed in [6]. The possibility to formulate the theory in terms of G-analytic superfields is a crucial advantage of the harmonic superspace formalism 3
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