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 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.
| 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
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Leading low-energy effective action in 6D, N= (1 1) SYM theory. / Buchbinder, I. L.; Ivanov, E. A.; Merzlikin, B. S.
In: Journal of High Energy Physics, Vol. 2018, No. 9, 39, 01.09.2018.Research output: Contribution to journal › Article
}
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
VL - 2018
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 9
M1 - 39
ER -