Dual infrared limits of 6d N=(2,0)theory

authored by

Olaf Lechtenfeld, Alexandre Popov

Abstract

Compactifying type A _N−1 6d N=(2,0)supersymmetric CFT on a product manifold M ⁴ ×Σ ² =M ³ ×S˜ ¹ ×S ¹ ×I either over S ¹ or over S˜ ¹ leads to maximally supersymmetric 5d gauge theories on M ⁴ ×I or on M ³ ×Σ ² , respectively. Choosing the radii of S ¹ and S˜ ¹ inversely proportional to each other, these 5d gauge theories are dual to one another since their coupling constants e ² and e˜ ² are proportional to those radii respectively. We consider their non-Abelian but non-supersymmetric extensions, i.e. SU(N)Yang–Mills theories on M ⁴ ×I and on M ³ ×Σ ² , where M ⁴ ⊃M ³ =R _t ×T _p ² with time t and a punctured 2-torus, and I⊂Σ ² is an interval. In the first case, shrinking I to a point reduces to Yang–Mills theory or to the Skyrme model on M ⁴ , depending on the method chosen for the low-energy reduction. In the second case, scaling down the metric on M ³ and employing the adiabatic method, we derive in the infrared limit a non-linear SU(N)sigma model with a baby-Skyrme-type term on Σ ² , which can be reduced further to A _N−1 Toda theory.

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

793

Pages

297-302

No. of pages

6

ISSN

0370-2693

Publication date

10.06.2019

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.48550/arXiv.1811.03649 (Access: Offen)
https://doi.org/10.1016/j.physletb.2019.02.051 (Access: Offen)
https://doi.org/10.15488/10441 (Access: Offen)