Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills

Dmitry V. Belyaev, Igor B. Samsonov

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We develop N = 4 d = 4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N = 4 super Yang-Mills theory. We solve the N = 4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N = 4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N = 4 SYM effective action; in particular, the F4/X4 and Wess-Zumino terms. The latter comes out in a novel SO(3)×SO(3)-invariant form.

Original languageEnglish
Article number056
JournalJournal of High Energy Physics
Volume2011
Issue number9
DOIs
Publication statusPublished - 2011
Externally publishedYes

Fingerprint

Yang-Mills theory
supersymmetry
invariance
harmonics
energy

Keywords

  • Extended Supersymmetry
  • Superspaces
  • Supersymmetric Effective Theories
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills. / Belyaev, Dmitry V.; Samsonov, Igor B.

In: Journal of High Energy Physics, Vol. 2011, No. 9, 056, 2011.

Research output: Contribution to journalArticle

Belyaev, Dmitry V. ; Samsonov, Igor B. / Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills. In: Journal of High Energy Physics. 2011 ; Vol. 2011, No. 9.
@article{e9b95ee1484e40a6abb49963178934f7,
title = "Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills",
abstract = "We develop N = 4 d = 4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N = 4 super Yang-Mills theory. We solve the N = 4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N = 4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N = 4 SYM effective action; in particular, the F4/X4 and Wess-Zumino terms. The latter comes out in a novel SO(3)×SO(3)-invariant form.",
keywords = "Extended Supersymmetry, Superspaces, Supersymmetric Effective Theories, Supersymmetric gauge theory",
author = "Belyaev, {Dmitry V.} and Samsonov, {Igor B.}",
year = "2011",
doi = "10.1007/JHEP09(2011)056",
language = "English",
volume = "2011",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "9",

}

TY - JOUR

T1 - Bi-harmonic superspace for N = 4 d = 4 super Yang-Mills

AU - Belyaev, Dmitry V.

AU - Samsonov, Igor B.

PY - 2011

Y1 - 2011

N2 - We develop N = 4 d = 4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N = 4 super Yang-Mills theory. We solve the N = 4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N = 4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N = 4 SYM effective action; in particular, the F4/X4 and Wess-Zumino terms. The latter comes out in a novel SO(3)×SO(3)-invariant form.

AB - We develop N = 4 d = 4 bi-harmonic superspace and use it to derive a novel form for the low-energy effective action in N = 4 super Yang-Mills theory. We solve the N = 4 supergauge constraints in this superspace in terms of analytic superfields. Using these superfields, we construct a simple functional that respects N = 4 supersymmetry and scale invariance. In components, it reproduces all on-shell terms in the four-derivative part of the N = 4 SYM effective action; in particular, the F4/X4 and Wess-Zumino terms. The latter comes out in a novel SO(3)×SO(3)-invariant form.

KW - Extended Supersymmetry

KW - Superspaces

KW - Supersymmetric Effective Theories

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=80053154488&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053154488&partnerID=8YFLogxK

U2 - 10.1007/JHEP09(2011)056

DO - 10.1007/JHEP09(2011)056

M3 - Article

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 9

M1 - 056

ER -