One-loop divergences in the 6D, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> abelian gauge theory

Buchbinder, I. L.; Ivanov, E.; Мерзликин, Б. С.; Stepanyantz, K. V.

doi:10.1016/j.physletb.2016.10.060

Cited by 25 publications

(40 citation statements)

References 34 publications

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“…This implies that following the same procedure as in our previous work [13], it is possible to find the action the variation of which coincides with (4.11). Up to an unessential additive constant, Γ 12) where in the last equation F ++ = F ++A t A , with t A being the generators of the fundamental representation.…”

Section: Jhep01(2017)128mentioning

confidence: 55%

“…We also note that the possible structure of the one-loop divergences in the model under consideration was discussed in [14] and [13].…”

Section: Jhep01(2017)128mentioning

confidence: 98%

“…In the present paper we generalize the background field method developed in [13] for the abelian case to the non-abelian model (2.21). The construction of gauge invariant effective action in the model under consideration is very similar to that in 4D, N = 2 supersymmetric gauge theories [15,21] (see also the reviews [16,17]).…”

Section: Jhep01(2017)128mentioning

confidence: 99%

“…The calculation of (4.1) was discussed in details in recent works [13,24,26]. It is similar for abelian and non-abelian cases.…”

Section: Jhep01(2017)128 4 Divergent Part Of the One-loop Effective Amentioning

confidence: 99%

“…In a recent work [13] we have calculated the divergent part of the one-loop effective action for the abelian 6D, N = (1, 0) gauge theory, in which the vector (gauge) multiplet interacts with a hypermultiplet. The basic tools were the background superfield method and proper time technique appropriately adapted to 6D, N = (1, 0) harmonic superspace.…”

Section: Introductionmentioning

confidence: 99%

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One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

Buchbinder

Ivanov²,

Мерзликин

et al. 2017

J. High Energ. Phys.

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We consider, in the harmonic superspace approach, the six-dimensional N = (1, 0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the superfield proper-time and background-field techniques, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. We demonstrate that in the particular case of N = (1, 1) SYM theory, which corresponds to the hypermultiplet in the adjoint representation, all one-loop divergencies vanish, so that N = (1, 1) SYM theory is one-loop finite off shell.

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Section: Jhep01(2017)128mentioning

confidence: 55%

“…We also note that the possible structure of the one-loop divergences in the model under consideration was discussed in [14] and [13].…”

Section: Jhep01(2017)128mentioning

confidence: 98%

Section: Jhep01(2017)128mentioning

confidence: 99%

“…The calculation of (4.1) was discussed in details in recent works [13,24,26]. It is similar for abelian and non-abelian cases.…”

Section: Jhep01(2017)128 4 Divergent Part Of the One-loop Effective Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

Buchbinder

Ivanov²,

Мерзликин

et al. 2017

J. High Energ. Phys.

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Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

Ivanov¹

2018

Springer Proceedings in Mathematics &Amp; Statistics

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On two-loop divergences of effective action in 6D, $$ \mathcal{N} $$ = (1, 1) SYM theory

Buchbinder

Ivanov

Мерзликин

et al. 2023

J. High Energ. Phys.

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We study the off-shell structure of the two-loop effective action in 6D,$$ \mathcal{N} $$ N = (1, 1) supersymmetric gauge theories formulated in $$ \mathcal{N} $$ N = (1, 0) harmonic superspace. The off-shell effective action involving all fields of 6D,$$ \mathcal{N} $$ N = (1, 1) supermultiplet is constructed by the harmonic superfield background field method, which ensures both manifest gauge covariance and manifest $$ \mathcal{N} $$ N = (1, 0) supersymmetry. We analyze the off-shell divergences dependent on both gauge and hypermultiplet superfields and argue that the gauge invariance of the divergences is consistent with the non-locality in harmonics. The two-loop contributions to the effective action are given by harmonic supergraphs with the background gauge and hypermultiplet superfields. The procedure is developed to operate with the harmonic-dependent superpropagators in the two-loop supergraphs within the superfield dimensional regularization. We explicitly calculate the gauge and the hypermultiplet-mixed divergences as the coefficients of $$ \frac{1}{\varepsilon^2} $$ 1 ε 2 and demonstrate that the corresponding expressions are non-local in harmonics.

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One-loop divergences in the 6D, N=(1,0) abelian gauge theory

Cited by 25 publications

References 34 publications

One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

One-loop divergences in 6D, N $$ \mathcal{N} $$ = (1, 0) SYM theory

Implications of Hidden $$\mathscr {N}=(0,1)$$ Super-Symmetry in $$\mathscr {N}=(1,1),\,6D$$ SYM Theory

On two-loop divergences of effective action in 6D, $$ \mathcal{N} $$ = (1, 1) SYM theory

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