arXiv subjects

A. S. Budekhina

Publications and source records attributed to A. S. Budekhina.

6 recordsLinked to original sources

arXiv2026

One-loop finiteness in higher-derivative $6D$, ${\cal N}=(1,0)$ super Yang-Mills -- hypermultiplet system

We employ the harmonic superspace methods to study a six-dimensional $\mathcal{N}=(1,0)$ supersymmetric gauge theory with higher derivatives coupled to a hypermultiplet in the adjoint representation. By introducing a novel 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 $\mathcal{N}=(1,0)$ 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.

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arXiv2025

The structure of divergences in the higher-derivative supersymmetric $6D$ gauge theory

Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint representation. The effective action is constructed in the framework of the superfield background field method with the help of ${\cal N}=(1,0)$ supersymmetric higher-derivative regularization scheme which preserves all symmetries of the theory. The one-loop divergences are calculated in a manifestly gauge invariant and $6D$, ${\cal N}=(1,0)$ supersymmetric form hopefully admitting a generalization to higher loops. The $β$-function in the one-loop approximation is found and analyzed. In particular, it is shown that the one-loop $β$-function for an arbitrary regulator function is specified by integrals of double total derivatives in momentum space, like it happens in $4D,\, {\cal N}=1$ superfield gauge theories. This points to the potential possibility to derive the all-loop NSVZ-like exact $β$-function in the considered theory.

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arXiv2024

One-loop divergences of effective action in $6D,\, {\cal N}=(1,0)$ supersymmetric four-derivative gauge theory

We consider six-dimensional higher-derivative ${\cal N}=(1,0)$ supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimensional ${\cal N}=(1,0)$ harmonic superspace to study the effective action in the theory. Using the dimensional regularization scheme we analyze the one-loop divergent contributions to the effective action. We demonstrate that UV behaviour is determined by the higher-derivative term for gauge multiplet sector.

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arXiv2022

On a structure of the one-loop divergences in $4D, {\cal N}=2$ supersymmetric sigma-model

We study the quantum structure of four-dimensional ${\cal N}=2$ superfield sigma-model formulated in harmonic superspace in terms of the omega-hypermultiplet superfield $ω$. The model is described by harmonic superfield sigma-model metric $g_{ab}(ω)$ and two potential-like superfields $L^{++}_{a}(ω)$ and $L^{(+4)}(ω)$. In bosonic component sector this model describes some hyper-Kähler manifold. The manifestly ${\cal N}=2$ supersymmetric covariant background-quantum splitting is constructed and the superfield proper-time technique is developed to calculate the one-loop effective action. The one-loop divergences of the superfield effective action are found for arbitrary $g_{ab}(ω), L^{++}_{a}(ω), L^{(+4)}(ω)$, where some specific analogy between the algebra of covariant derivatives in the sigma-model and the corresponding algebra in the ${\cal N}=2$ SYM theory is used. The component structure of divergences in the bosonic sector is discussed.

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arXiv2021

One-loop divergences in the six-dimensional $\cal{N}=(1,0)$ hypermultiplet self-coupling model

We study the six-dimensional $\cal{N}=(1,0)$ supersymmetric hypermultiplet model with arbitrary self-coupling. The model is considered in the external classical gauge superfield background. Using the harmonic superspace formulation we study the one-loop effective action of the model. We calculate the one-loop divergences in the theory as a gauge-invariant function of the external gauge multiplet. We demonstrate that the one-loop divergences in the theory do not vanish even in the case of on-shell hypermultiplet background. We briefly discuss an application of the developed technique to the hypermultiplet model in four dimensions.

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arXiv2019

On the component structure of one-loop effective actions in $6D$, ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric gauge theories

We study the six-dimensional ${\cal N}=(1,0)$ and ${\cal N}=(1,1)$ supersymmetric Yang-Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contribution to effective potential for the constant background scalar fields are absent in the ${\cal N}=(1,1)$ SYM theory.

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