منابع مشابه
Open-closed field algebras
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V . In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C-extension of Swiss-cheese partial operad. We also give a tensor-categorical formulation and constructions of open-c...
متن کاملCardy condition for open-closed field algebras
Let V be a vertex operator algebra satisfying certain reductivity and finiteness conditions such that CV , the category of V -modules, is a modular tensor category. We study open-closed field algebras over V equipped with nondegenerate invariant bilinear forms for both open and closed sectors. We show that they give algebras over certain C-extension of the so-called Swiss-cheese partial diopera...
متن کاملOpen-closed Field Algebras, Operads and Tensor Categories
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C-extension of the Swiss-cheese partial operad. We also give a tensor categorical formulation and categorical construc...
متن کامل2 00 6 Open - closed field algebras , operads and tensor categories
We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically gives an algebra over a C-extension of the Swiss-cheese partial operad. We also give a tensor categorical formulation and categorical construc...
متن کامل8 Open - Closed String Correspondence in Open String Field Theory
We address the problem of describing different closed string backgrounds in background independent open string field theory: A shift in the closed string background corresponds to a collective excitation of open strings. As an illustration we apply the formalism to the case where the closed string background is a group manifold.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0446-0