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arXiv 0904.0840hep-th
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阿贝尔对偶性,不同维度中的墙和边界条件

Abelian duality, walls and boundary conditions in diverse dimensions

Anton Kapustin, Mikhail Tikhonov

摘要:

我们系统地应用对偶墙的形式主义来研究二元、三维和四维自由场论中对偶变换对边界条件和局部与非局部算子的作用。特别地,我们构造了一大类具有环形目标的二维sigma模型的D-膜,并确定了T-对偶群在其上的作用,证明了D-膜上的T-对偶变换是由微分几何形式的Fourier-Mukai变换给出的.

英文摘要:

We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and four-dimensional free field theories. In particular, we construct a large class of D-branes for two-dimensional sigma-models with toroidal targets and determine the action of the T-duality group on it. It is manifest in this formalism that T-duality transformations on D-branes are given by a differential-geometric version of the Fourier-Mukai transform.

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