The Topological B-Model on Fattened Complex Manifolds and Subsectors of N = 4 Self-Dual Yang-Mills Theory
نویسنده
چکیده
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 C4 or R4. Furthermore, we comment on Yau’s theorem for these spaces.
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