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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 R3,1×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 R3,1×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 R3,1 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)