Instantons in six dimensions and twistors

Download statistics - Document (COUNTER):

Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.; Tormählen, M.: Instantons in six dimensions and twistors. In: Nuclear Physics B 882 (2014), Nr. 1, S. 205-218. DOI: https://doi.org/10.1016/j.nuclphysb.2014.02.023

Repository version

To cite the version in the repository, please use this identifier: https://doi.org/10.15488/950

Selected time period:

year: 
month: 

Sum total of downloads: 32




Thumbnail
Abstract: 
Recently, conformal field theories in six dimensions were discussed from the twistorial point of view. In particular, it was demonstrated that the twistor transform between chiral zero-rest-mass fields and cohomology classes on twistor space can be generalized from four to six dimensions. On the other hand, the possibility of generalizing the correspondence between instanton gauge fields and holomorphic bundles over twistor space is questionable. It was shown by Sämann and Wolf that holomorphic line bundles over the canonical twistor space Tw(X) (defined as a bundle of almost complex structures over the six-dimensional manifold X) correspond to pure-gauge Maxwell potentials, i.e. the twistor transform fails. On the example of X=CP3 we show that there exists a twistor correspondence between Abelian or non-Abelian Yang-Mills instantons on CP3 and holomorphic bundles over complex submanifolds of Tw(CP3), but it is not so efficient as in the four-dimensional case because the twistor transform does not parametrize instantons by unconstrained holomorphic data as it does in four dimensions.
License of this version: CC BY 3.0
Document Type: article
Publishing status: publishedVersion
Issue Date: 2014
Appears in Collections:Fakultät für Mathematik und Physik

distribution of downloads over the selected time period:

downloads by country:

pos. country downloads
total perc.
1 image of flag of Germany Germany 30 93.75%
2 image of flag of United States United States 1 3.12%
3 image of flag of Chile Chile 1 3.12%

Further download figures and rankings:


Hinweis

Zur Erhebung der Downloadstatistiken kommen entsprechend dem „COUNTER Code of Practice for e-Resources“ international anerkannte Regeln und Normen zur Anwendung. COUNTER ist eine internationale Non-Profit-Organisation, in der Bibliotheksverbände, Datenbankanbieter und Verlage gemeinsam an Standards zur Erhebung, Speicherung und Verarbeitung von Nutzungsdaten elektronischer Ressourcen arbeiten, welche so Objektivität und Vergleichbarkeit gewährleisten sollen. Es werden hierbei ausschließlich Zugriffe auf die entsprechenden Volltexte ausgewertet, keine Aufrufe der Website an sich.

Search the repository


Browse