arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.4722hep-th
收藏

WZW模型中D-膜的几何构造

Geometric construction of D-branes in WZW models

G. Horcajada, F. Ruiz Ruiz

备注：
23 pages, discussion of limitations of the gluing condition approach added
发表信息：
JHEP 1109:020,2011
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

推进了WZW模型中D-膜的几何描述。我们的出发点是一个胶合条件，$J_{+}=FJ_-$，它通过作用于WZW李代数的线性映射$F$在世界面边界匹配模型的手征电流。详细研究了这类边界条件和胶合条件的等价性。分析涉及Frobenius可积性的深入讨论，表明$F$必须是等距的，并适用于度量退化和非退化D膜。等距$F$不需要是李代数自同构，也不需要在膜上不断定义。这种方法，当应用到等距的形式$F=R$与$R$一个常数李代数自同构，验证度量退化$R$ -共轭类作为D-膜。对于常数$F=-R$，在半单WZW模型中不存在D-膜.

英文摘要：

The geometric description of D-branes in WZW models is pushed forward. Our starting point is a gluing condition\, $J_{+}=FJ_-$ that matches the model's chiral currents at the worldsheet boundary through a linear map $F$ acting on the WZW Lie algebra. The equivalence of boundary and gluing conditions of this type is studied in detail. The analysis involves a thorough discussion of Frobenius integrability, shows that $F$ must be an isometry, and applies to both metrically degenerate and nondegenerate D-branes. The isometry $F$ need not be a Lie algebra automorphism nor constantly defined over the brane. This approach, when applied to isometries of the form $F=R$ with $R$ a constant Lie algebra automorphism, validates metrically degenerate $R$-twined conjugacy classes as D-branes. It also shows that no D-branes exist in semisimple WZW models for constant\, $F=-R$.

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。

↑