论文标题
手性玻色子的统一方法
Unifying Approaches to Chiral Bosons
论文作者
论文摘要
手性玻色子或自动二型P形领域在弦理论的环境中无处不在,但在治疗方面具有挑战性。 Lagrangian结构总是引入复杂性,无论是辅助场还是牺牲洛伦兹的不变性。在本说明中,我们展示了如何从Chern Simons的角度开始的手性玻色子之间传递到手性玻色子,以恢复Pasti,Sorokin和Tonin以及Mkrtchyan的配方。这导致了后者的新概括,其中包括2维中的非亚伯性手性玻色子,并概括包括扭曲的自偶性,这些性与t偶尔对称方法相关的弦理论方法。我们的方法还显示了边界上破裂的Chern-Simons仪表转换中出现的二维和高维性手性玻色子的全球仿射对称性。
Chiral bosons, or self-dual p-form fields, are ubiquitous in string theoretic contexts but are challenging to treat. Lagrangian constructions invariably introduce a complexity be it auxiliary fields or sacrificing Lorentz invariance. In this note we show how to pass between such different approaches to chiral bosons starting from a Chern Simons point of view to recover formulations of Pasti, Sorokin and Tonin and of Mkrtchyan. This leads to a novel generalisation of the latter to include non-Abelian chiral bosons in 2-dimensions, and generalisations to include twisted self-duality which are relevant in T-duality symmetric approaches to string theory. Our approach also shows how global affine symmetries of two- and higher-dimensional chiral bosons emerge from broken Chern-Simons gauge transformations on the boundary.