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<p>Construction of the superfield action of the <i>N</i> = (1, 0), <i>d</i> = 6 non-Abelian tensor multiplet based on the non-Abelian tensor hierarchies is considered. It is shown that while straightforward non-Abelian generalization of the Pasti-Sorokin-Tonin action is not a workable solution, a suitable truncation of the PST action still can be modified to include non-Abelian tensor field. In the modified action, the self-dual equation of motion of the tensor field is induced by a composite Lagrange multiplier, which is not a component of a standard dynamical tensor multiplet. As a result, the constraint that enforces the gauge group to be non-compact, as in the usual tensor hierarchies, can be avoided.</p>

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Improved non-Abelian tensor multiplet action

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月11日

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  • Nikolay Kozyrev

摘要

Construction of the superfield action of the N = (1, 0), d = 6 non-Abelian tensor multiplet based on the non-Abelian tensor hierarchies is considered. It is shown that while straightforward non-Abelian generalization of the Pasti-Sorokin-Tonin action is not a workable solution, a suitable truncation of the PST action still can be modified to include non-Abelian tensor field. In the modified action, the self-dual equation of motion of the tensor field is induced by a composite Lagrange multiplier, which is not a component of a standard dynamical tensor multiplet. As a result, the constraint that enforces the gauge group to be non-compact, as in the usual tensor hierarchies, can be avoided.