Skyrme–Faddeev model from 5d super-Yang–Mills

authored by

Olaf Lechtenfeld, Alexander D. Popov

Abstract

We consider 5d Yang–Mills–Higgs theory with a compact ADE-type gauge group G and one adjoint scalar field on R^3,1×R₊, where R₊=[0,∞) is the half-line. The maximally supersymmetric extension of this model, with five adjoint scalars, appears after a reduction of 6d N=(2,0) superconformal field theory on R^3,1×R₊×S¹ along the circle S¹. We show that in the low-energy limit, when momenta along R^3,1 are much smaller than along R₊, the 5d Yang–Mills–Higgs theory reduces to a nonlinear sigma model on R^3,1 with a coset G/H as its target space. Here H is a closed subgroup of G determined by the Higgs-field asymptotics at infinity. The 4d sigma model describes an infinite tower of interacting fields, and in the infrared it is dominated by the standard two-derivative kinetic term and the four-derivative Skyrme–Faddeev term.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volume

786

Pages

39-44

No. of pages

6

ISSN

0370-2693

Publication date

10.11.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1807.11803 (Access: Offen)
https://doi.org/10.1016/j.physletb.2018.09.028 (Access: Offen)
https://doi.org/10.15488/4231 (Access: Offen)