Harmonic superspace approach to the effective action in six-dimensional supersymmetric gauge theories

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

doi:10.48550/arxiv.1812.02681

Cited by 4 publications

(7 citation statements)

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“…The background superfield method for the model (2.6) was developed in refs. [19][20][21][22][23]. In many aspects it is similar to that for 4D, N = 2 supersymmetric gauge theories [25] (see also the review [26]).…”

Section: The One-loop Effective Actionmentioning

confidence: 68%

“…Now we briefly recall, basically following ref. [14,[19][20][21][22][23], some details of the harmonic superspace formulation of 6D, N = (1, 0) SYM interacting with a hypermultiplet. The classical action of the theory has the form…”

Section: Basic Notionsmentioning

confidence: 99%

“…Recently, using techniques of the six-dimensional (6D) N = (1, 0) harmonic superspace [12][13][14] (which is a direct generalization of 4D, N = 2 harmonic superspace [15][16][17]), we studied the quantum structure of N = (1, 0) and N = (1, 1) supersymmetric 6D gauge theories [18][19][20][21][22] (see also the review [23]), paying a special attention to off-shell divergences. We considered 6D, N = (1, 0) nonabelian Yang-Mills theory coupled to the hypermultiplet in an arbitrary representation of the gauge group and calculated the one-loop divergences of the superfield effective action.…”

Section: Introductionmentioning

confidence: 99%

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On gauge dependence of the one-loop divergences in $6D$, ${\cal N} = (1,0)$ and ${\cal N} = (1,1)$ SYM theories

Buchbinder,

Ivanov,

Merzlikin

et al. 2019

Preprint

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We study the gauge dependence of one-loop divergences in a general matter-coupled 6D, N = (1, 0) supersymmetric gauge theory in the harmonic superspace formulation. Our analysis is based on the effective action constructed by the background superfield method, with the gauge-fixing term involving one real parameter ξ 0 . A manifestly gauge invariant and N = (1, 0) supersymmetric procedure for calculating the one-loop effective action is developed. It yields the one-loop divergences in an explicit form and allows one to investigate their gauge dependence. As compared to the minimal gauge, ξ 0 = 1, the divergent part of the general-gauge effective action contains a new term depending on ξ 0 . This term vanishes for the background superfields satisfying the classical equations of motion, so that the S-matrix divergences are gauge-independent. In the case of 6D, N = (1, 1) SYM theory we demonstrate that some divergent contributions in the non-minimal gauges do not vanish off shell, as opposed to the minimal gauge.

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Section: The One-loop Effective Actionmentioning

confidence: 68%

Section: Basic Notionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On gauge dependence of the one-loop divergences in $6D$, ${\cal N} = (1,0)$ and ${\cal N} = (1,1)$ SYM theories

Buchbinder,

Ivanov,

Merzlikin

et al. 2019

Preprint

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“…In our previous works [28][29][30][31][32][33] we studied UV properties of 6D, N = (1, 0) and N = (1, 1) theories in the 6D harmonic superspace formulation. In particular, it was found that 6D, N = (1, 1) theory is off-shell finite in the one-loop approximation in the Feynman gauge, although the divergences are still present in the non-minimal gauges [33] (they vanish on shell).…”

Section: Introductionmentioning

confidence: 99%

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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“…The study of the gauge dependence of the one-loop divergent contributions to one-loop effective actions in N = (1, 0) and N = (1, 1) SYM was recently done in[25,26,33] …”

mentioning

confidence: 99%

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

Buchbinder,

Budekhina,

Merzlikin

2019

Preprint

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We study the six-dimensional N = (1, 0) and 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 N = (1, 1) SYM theory.

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Harmonic superspace approach to the effective action in six-dimensional supersymmetric gauge theories

Cited by 4 publications

References 0 publications

On gauge dependence of the one-loop divergences in $6D$, ${\cal N} = (1,0)$ and ${\cal N} = (1,1)$ SYM theories

On gauge dependence of the one-loop divergences in $6D$, ${\cal N} = (1,0)$ and ${\cal N} = (1,1)$ SYM theories

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

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

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