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<p>We employ the harmonic superspace methods to study a six-dimensional 𝒩 = (1<i>,</i> 0) supersymmetric gauge theory with higher derivatives coupled to a hypermultiplet in the adjoint representation. By introducing a certain non-minimal interaction between the gauge multiplet and the hypermultiplet, we demonstrate that the one-loop divergences in gauge superfield sector, which are present in the conventional formulation, are canceled. The resulting theory is off-shell one-loop finite in this sector, while preserving the gauge invariance and 𝒩 = (1<i>,</i> 0) supersymmetry. The cancelation mechanism is explicitly verified using both the background field method and the supergraph techniques. Thus, we present an example of the higher-derivative supersymmetric gauge theory in six dimensions which is finite in the vector multiplet sector.</p>

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One-loop finiteness in higher-derivative 6D, 𝒩 = (1, 0) super Yang-Mills — hypermultiplet system

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • I. L. Buchbinder,
  • A. S. Budekhina,
  • E. A. Ivanov,
  • K. V. Stepanyantz

摘要

We employ the harmonic superspace methods to study a six-dimensional 𝒩 = (1, 0) supersymmetric gauge theory with higher derivatives coupled to a hypermultiplet in the adjoint representation. By introducing a certain non-minimal interaction between the gauge multiplet and the hypermultiplet, we demonstrate that the one-loop divergences in gauge superfield sector, which are present in the conventional formulation, are canceled. The resulting theory is off-shell one-loop finite in this sector, while preserving the gauge invariance and 𝒩 = (1, 0) supersymmetry. The cancelation mechanism is explicitly verified using both the background field method and the supergraph techniques. Thus, we present an example of the higher-derivative supersymmetric gauge theory in six dimensions which is finite in the vector multiplet sector.