Skyrme model from 6d N=(2,0) theory

authored by

Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov

Abstract

We consider 5d Yang–Mills theory with a compact ADE-type gauge group G on R^3,1×I, where I is an interval. The maximally supersymmetric extension of this model appears after compactification on S¹ of 6d N=(2,0) superconformal field theory on R^3,1×S₂ ², where S₂ ²≅I×S¹ is a two-sphere with two punctures. In the low-energy limit, when the length of I becomes small, the 5d Yang–Mills theory reduces to a nonlinear sigma model on R^3,1 with the Lie group G as its target space. It contains an infinite tower of interacting fields whose leading term in the infrared is the four-derivative Skyrme term. A maximally supersymmetric generalization leading to a hyper-Kähler sigma-model target space is briefly discussed.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

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

Volume

783

Pages

222-226

No. of pages

5

ISSN

0370-2693

Publication date

10.08.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1805.07241 (Access: Offen)
https://doi.org/10.1016/j.physletb.2018.06.052 (Access: Offen)