arXiv 0908.18162009-08-13hep-th

超群中的膜

Branes in Supergroups

Thomas Creutzig

备注：: PhD thesis

摘要：

在这篇论文中，我们系统地研究了具有李群目标空间的Wess-Zumino-Novikov-Witten模型中的膜。我们首先证明了膜的世界体积是一个扭曲的超共轭类，并构造了边界WZNW模型的作用。然后，我们考虑辛费米子，并给出一个完整的描述边界状态，包括扭曲的部门。进一步证明了GL（1| 1）WZNW模型等价于辛费米子加两个标量。然后我们考虑GL（1|（1）边界理论。明确地构造了扭曲和非扭曲的Cardy边界态，并计算了它们的振幅。在扭曲的情况下，我们发现一个微扰制定的模型。为此，引入一个额外的费米边界自由度是必要的。我们计算了所有的体一点函数、体边界两点函数和边界三点函数。体边界和纯边界关联函数都存在对数奇异性。最后，我们转向世界片和目标空间超对称模型。在许多超陪集和某些超群中存在N=2超共形对称。在超群的情况下，我们发现一些膜保持拓扑A-扭曲和一些保持B-扭曲。

英文摘要：

In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the boundary WZNW model. Then we consider symplectic fermions and give a complete description of boundary states including twisted sectors. Further we show that the GL(1|1) WZNW model is equivalent to symplectic fermions plus two scalars. We then consider the GL(1|1) boundary theory. Twisted and untwisted Cardy boundary states are constructed explicitly and their amplitudes are computed. In the twisted case we find a perturbative formulation of the model. For this purpose the introduction of an additional fermionic boundary degree of freedom is necessary. We compute all bulk one-point functions, bulk-boundary two-point functions and boundary three-point functions. Logarithmic singularities appear in bulk-boundary as well as pure boundary correlation functions. Finally we turn to world-sheet and target space supersymmetric models. There is N=2 superconformal symmetry in many supercosets and also in certain supergroups. In the supergroup case we find some branes that preserve the topological A-twist and some that preserve the B-twist.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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