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On supertwistors, the Penrose-Ward transform and N = 4 super-Yang-Mills theory

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Alexander D. Popov
  • Christian Sämann

Organisationseinheiten

Details

OriginalspracheEnglisch
Seiten (von - bis)931-998
Seitenumfang68
FachzeitschriftAdvances in Theoretical and Mathematical Physics
Jahrgang9
Ausgabenummer6
PublikationsstatusVeröffentlicht - Dez. 2005

Abstract

It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP3/4 as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in turn is equivalent to self-dual N = 4 super-Yang-Mills (SYM) theory in four dimensions. We review the supertwistor description of self-dual and anti-self-dual N-extended SYM theory as the integrability of SYM fields on complex (2|N)-dimensional superplanes and demonstrate the equivalence of this description to Witten's formulation. The equivalence of the field equations of hCS theory on an open subset of CP3/N to the field equations of self-dual N-extended SYM theory in four dimensions is made explicit. Furthermore, we extend the picture to the full N = 4 SYM theory and, by using the known supertwistor description of this case, we show that the corresponding constraint equations are (gauge) equivalent to the field equations of hCS theory on a quadric in CP3/3 × CP3/3.

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On supertwistors, the Penrose-Ward transform and N = 4 super-Yang-Mills theory. / Popov, Alexander D.; Sämann, Christian.
in: Advances in Theoretical and Mathematical Physics, Jahrgang 9, Nr. 6, 12.2005, S. 931-998.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Popov, Alexander D. ; Sämann, Christian. / On supertwistors, the Penrose-Ward transform and N = 4 super-Yang-Mills theory. in: Advances in Theoretical and Mathematical Physics. 2005 ; Jahrgang 9, Nr. 6. S. 931-998.
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