Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions

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dc.creatorPopov, Alexander D.
dc.creatorWolf, Martin
dc.date2004-06-24
dc.date2004-09-15
dc.date.accessioned2026-07-07T10:49:59Z
dc.date.available2026-07-07T10:49:59Z
dc.descriptionIt was recently shown by Witten on the basis of several examples that the topological B-model whose target space is a Calabi-Yau (CY) supermanifold is equivalent to holomorphic Chern-Simons (hCS) theory on the same supermanifold. Moreover, for the supertwistor space CP^{3|4} as target space, it has been demonstrated that hCS theory on CP^{3|4} is equivalent to self-dual N=4 super Yang-Mills (SYM) theory in four dimensions. We consider as target spaces for the B-model the weighted projective spaces WCP^{3|2}(1,1,1,1|p,q) with two fermionic coordinates of weight p and q, respectively - which are CY supermanifolds for p+q=4 - and discuss hCS theory on them. By using twistor techniques, we obtain certain field theories in four dimensions which are equivalent to hCS theory. These theories turn out to be self-dual truncations of N=4 SYM theory or of its twisted (topological) version.
dc.description12 pages; v2: minor clarification, 3 references added, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0406224
dc.identifierhttp://arxiv.org/abs/hep-th/0406224
dc.identifierJHEP0409:007,2004
dc.identifierdoi:10.1088/1126-6708/2004/09/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184408
dc.subjectHigh Energy Physics - Theory
dc.titleTopological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions
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