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arXiv 1804.04035hep-th
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非阿贝尔张量多重态

The non-Abelian tensor multiplet

Andreas Gustavsson

摘要:

我们假设存在一个背景向量场,使我们能够为非阿贝尔6d $(1,0)$张量多重态的超共形变换做一个逆变换。在共形代数的生成元上的超对称封闭,要求向量场是阿贝尔的,具有标度维数减1,并且超对称参数以及张量多重态中的所有场沿着这个向量场具有消失的李导数。我们将张量多重态耦合到一个超多重态上,得到了超共形变换,并将其封闭在壳外。

英文摘要:

We assume the existence of a background vector field that enables us to make an ansatz for the superconformal transformations for the non-Abelian 6d $(1,0)$ tensor multiplet. Closure of supersymmetry on generators of the conformal algebra, requires that the vector field is Abelian, has scaling dimension minus one and that the supersymmetry parameter as well as all the fields in the tensor multiplet have vanishing Lie derivatives along this vector field. We couple the tensor multiplet to a hypermultiplet and obtain superconformal transformations that we close off-shell.

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