On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory

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dc.creatorPopov, Alexander D.
dc.creatorSaemann, Christian
dc.date2004-05-13
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:36:38Z
dc.date.available2026-07-07T06:36:38Z
dc.descriptionIt was recently shown by Witten that B-type open topological string theory with the supertwistor space CP^{3|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 super Yang-Mills 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 CP^{3|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 CP^{3|3}xCP^{3|3}.
dc.description48 pages; version to appear in ATMP
dc.identifierhttps://arxiv.org/abs/hep-th/0405123
dc.identifierhttp://arxiv.org/abs/hep-th/0405123
dc.identifierAdv.Theor.Math.Phys. 9 (2005) 931-998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100148
dc.subjectHigh Energy Physics - Theory
dc.titleOn Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
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