Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy some constraints that bear a similarity with the Hitchin equations, and contain the Donaldson equations as a special subcase. It turns out that these constraints can be obtained by dimensional reduction of the octonionic instanton equations, and may be rephrased in terms of a selfduality-like condition for a complex connection. We also show that the supersymmetry conditions imply the equations of motion only partially.
Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry / S. Detournay, D. Klemm, C. Pedroli. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2009:10(2009), pp. 030.030.1-030.030.27.
Titolo: | Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry |
Autori: | KLEMM, DIETMAR (Secondo) |
Parole Chiave: | AdS-CFT Correspondence; Solitons Monopoles and Instantons; Supersymmetric gauge theory |
Settore Scientifico Disciplinare: | Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici |
Data di pubblicazione: | 2009 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1126-6708/2009/10/030 |
Appare nelle tipologie: | 01 - Articolo su periodico |