Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 685-708 |
| Seitenumfang | 24 |
| Fachzeitschrift | Communications in Mathematical Physics |
| Jahrgang | 275 |
| Ausgabenummer | 3 |
| Frühes Online-Datum | 15 Aug. 2007 |
| Publikationsstatus | Veröffentlicht - Nov. 2007 |
Abstract
We describe an infinite-dimensional algebra of hidden symmetries of script N sign = 4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows on the solution space of the script N sign = 4 SYM equations. The dependence of the SYM fields on the parameters along the flows can be recovered by solving the equations of the hierarchy. We embed the script N sign = 4 SYM equations in the infinite system of the hierarchy equations and show that this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations. Presumably, the existence of such nonlocal symmetries underlies the observed integrable structures in quantum script N sign = 4 SYM theory.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Statistische und nichtlineare Physik
- Mathematik (insg.)
- Mathematische Physik
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in: Communications in Mathematical Physics, Jahrgang 275, Nr. 3, 11.2007, S. 685-708.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Hidden symmetries and integrable hierarchy of the script N sign = 4 supersymmetric Yang-Mills equations
AU - Popov, Alexander D.
AU - Wolf, Martin
PY - 2007/11
Y1 - 2007/11
N2 - We describe an infinite-dimensional algebra of hidden symmetries of script N sign = 4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows on the solution space of the script N sign = 4 SYM equations. The dependence of the SYM fields on the parameters along the flows can be recovered by solving the equations of the hierarchy. We embed the script N sign = 4 SYM equations in the infinite system of the hierarchy equations and show that this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations. Presumably, the existence of such nonlocal symmetries underlies the observed integrable structures in quantum script N sign = 4 SYM theory.
AB - We describe an infinite-dimensional algebra of hidden symmetries of script N sign = 4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows on the solution space of the script N sign = 4 SYM equations. The dependence of the SYM fields on the parameters along the flows can be recovered by solving the equations of the hierarchy. We embed the script N sign = 4 SYM equations in the infinite system of the hierarchy equations and show that this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations. Presumably, the existence of such nonlocal symmetries underlies the observed integrable structures in quantum script N sign = 4 SYM theory.
UR - http://www.scopus.com/inward/record.url?scp=34548430436&partnerID=8YFLogxK
U2 - 10.1007/s00220-007-0296-1
DO - 10.1007/s00220-007-0296-1
M3 - Article
AN - SCOPUS:34548430436
VL - 275
SP - 685
EP - 708
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -