The Topological B-Model on Fattened Complex Manifolds and Subsectors ofN=4 Self-Dual Yang-Mills Theory | Zendy

Christian Saemann | Zendy

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The Topological B-Model on Fattened Complex Manifolds and Subsectors ofN=4 Self-Dual Yang-Mills Theory

Author(s) -

Christian Saemann

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/01/042

Subject(s) - holomorphic function , sheaf , mathematics , pure mathematics , dual (grammatical number) , space (punctuation) , yang–mills existence and mass gap , ricci flat manifold , topology (electrical circuits) , mathematical physics , gauge theory , combinatorics , geometry , computer science , philosophy , linguistics , scalar curvature , curvature , operating system

In this paper, we propose so-called fattened complex manifolds as targetspaces for the topological B-model. We naturally obtain these manifolds byrestricting the structure sheaf of the N=4 supertwistor space, a process, whichcan be understood as a fermionic dimensional reduction. Using the twistorialdescription of these fattened complex manifolds, we construct Penrose-Wardtransforms between solutions to the holomorphic Chern-Simons equations on thesespaces and bosonic subsectors of solutions to the N=4 self-dual Yang-Millsequations on C^4 or R^4. Furthermore, we comment on Yau's theorem for thesespaces.Comment: 29+1 pages, some typos fixe

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