### Abstract

We elaborate on the low-energy effective action of 6D,N= (1 1) supersymmetric Yang-Mills (SYM) theory in the N= (1 0) harmonic superspace formulation. The theory is described in terms of analytic N= (1 0) gauge superfield V^{++} and analytic ω-hypermultiplet, both in the adjoint representation of gauge group. The effective action is defined in the framework of the background superfield method ensuring the manifest gauge invariance along with manifest N= (1 0) supersymmetry. We calculate leading contribution to the one-loop effective action using the on-shell background superfields corresponding to the option when gauge group SU(N) is broken to SU(N − 1) × ϒ(1) ⊂ SU(N). In the bosonic sector the effective action involves the structure ∼F2X2 , where F^{4} is a monomial of the fourth degree in an abelian field strength F_{M N} and X stands for the scalar fields from the ω-hypermultiplet. It is manifestly demonstrated that the expectation values of the hypermultiplet scalar fields play the role of a natural infrared cutoff.

Original language | English |
---|---|

Article number | 39 |

Journal | Journal of High Energy Physics |

Volume | 2018 |

Issue number | 9 |

DOIs | |

Publication status | Published - 1 Sep 2018 |

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### Keywords

- Extended Supersymmetry
- Superspaces
- Supersymmetric Gauge Theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2018*(9), [39]. https://doi.org/10.1007/JHEP09(2018)039

**Leading low-energy effective action in 6D, N= (1 1) SYM theory.** / Buchbinder, I. L.; Ivanov, E. A.; Merzlikin, B. S.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2018, no. 9, 39. https://doi.org/10.1007/JHEP09(2018)039

}

TY - JOUR

T1 - Leading low-energy effective action in 6D, N= (1 1) SYM theory

AU - Buchbinder, I. L.

AU - Ivanov, E. A.

AU - Merzlikin, B. S.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - We elaborate on the low-energy effective action of 6D,N= (1 1) supersymmetric Yang-Mills (SYM) theory in the N= (1 0) harmonic superspace formulation. The theory is described in terms of analytic N= (1 0) gauge superfield V++ and analytic ω-hypermultiplet, both in the adjoint representation of gauge group. The effective action is defined in the framework of the background superfield method ensuring the manifest gauge invariance along with manifest N= (1 0) supersymmetry. We calculate leading contribution to the one-loop effective action using the on-shell background superfields corresponding to the option when gauge group SU(N) is broken to SU(N − 1) × ϒ(1) ⊂ SU(N). In the bosonic sector the effective action involves the structure ∼F2X2 , where F4 is a monomial of the fourth degree in an abelian field strength FM N and X stands for the scalar fields from the ω-hypermultiplet. It is manifestly demonstrated that the expectation values of the hypermultiplet scalar fields play the role of a natural infrared cutoff.

AB - We elaborate on the low-energy effective action of 6D,N= (1 1) supersymmetric Yang-Mills (SYM) theory in the N= (1 0) harmonic superspace formulation. The theory is described in terms of analytic N= (1 0) gauge superfield V++ and analytic ω-hypermultiplet, both in the adjoint representation of gauge group. The effective action is defined in the framework of the background superfield method ensuring the manifest gauge invariance along with manifest N= (1 0) supersymmetry. We calculate leading contribution to the one-loop effective action using the on-shell background superfields corresponding to the option when gauge group SU(N) is broken to SU(N − 1) × ϒ(1) ⊂ SU(N). In the bosonic sector the effective action involves the structure ∼F2X2 , where F4 is a monomial of the fourth degree in an abelian field strength FM N and X stands for the scalar fields from the ω-hypermultiplet. It is manifestly demonstrated that the expectation values of the hypermultiplet scalar fields play the role of a natural infrared cutoff.

KW - Extended Supersymmetry

KW - Superspaces

KW - Supersymmetric Gauge Theory

UR - http://www.scopus.com/inward/record.url?scp=85053040779&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053040779&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2018)039

DO - 10.1007/JHEP09(2018)039

M3 - Article

AN - SCOPUS:85053040779

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 39

ER -