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

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin

Research output: Contribution to journalArticle

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 languageEnglish
Article number39
JournalJournal of High Energy Physics
Volume2018
Issue number9
DOIs
Publication statusPublished - 1 Sep 2018

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Yang-Mills theory
scalars
gauge invariance
frequency modulation
supersymmetry
energy
field strength
sectors
cut-off
harmonics
formulations

Keywords

  • Extended Supersymmetry
  • Superspaces
  • Supersymmetric Gauge Theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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 journalArticle

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