Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 297-302 |
| Seitenumfang | 6 |
| Fachzeitschrift | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Jahrgang | 793 |
| Frühes Online-Datum | 3 Mai 2019 |
| Publikationsstatus | Veröffentlicht - 10 Juni 2019 |
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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Kern- und Hochenergiephysik
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in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 793, 10.06.2019, S. 297-302.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Dual infrared limits of 6d N=(2,0)theory
AU - Lechtenfeld, Olaf
AU - Popov, Alexandre
N1 - Funding information: This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13. It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 . It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2019/6/10
Y1 - 2019/6/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85065146824&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1811.03649
DO - 10.48550/arXiv.1811.03649
M3 - Article
AN - SCOPUS:85065146824
VL - 793
SP - 297
EP - 302
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -