The topological B-model on fattened complex manifolds and subsectors of Script N = 4 self-dual Yang-Mills theory

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Abstract

In this paper, we propose so-called fattened complex manifolds as target spaces for the topological B-model. We naturally obtain these manifolds by restricting the structure sheaf of the N=4 supertwistor space, a process, which can be understood as a fermionic dimensional reduction. Using the twistorial description of these fattened complex manifolds, we construct Penrose-Ward transforms between solutions to the holomorphic Chern-Simons equations on these spaces and bosonic subsectors of solutions to the N=4 self-dual Yang-Mills equations on C^4 or R^4. Furthermore, we comment on Yau's theorem for these spaces.
Original languageEnglish
JournalJournal of High Energy Physics
Volume2005
DOIs
Publication statusPublished - Jan 2005

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