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arXiv 1203.0909hep-th
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高自旋的弦振幅和类框架形式

String Amplitudes and Frame-like Formalism for Higher Spins

Seungjin Lee, Dimitri Polyakov

摘要:

我们在Vasiliev的框架形式下分析了描述自旋为3的连接规范场的开弦顶点算子,并进行了扩展的BRST分析。规范对称性变换、将额外场与动力学类框架场联系起来的广义零挠率约束以及自旋为3的动力学类框架场与全对称Fronsdal场的关系都是在弦论中这些顶点算符的BRST约束下实现的。利用该结构,我们分析了自旋为3的场的三点关联,并在类框架形式下计算了由三阶导数Berends-Burgers-van Dam(BBD)型顶点描述的Chern-Simons型立方相互作用.

英文摘要:

We analyze open string vertex operators describing connection gauge fields for spin 3 in Vasiliev's frame-like formalism and perform their extended BRST analysis. Gauge symmetry transformations, generalized zero torsion constraints relating extra fields to the dynamical frame-like field and relation between dynamical frame-like field and fully symmetric Fronsdal's field for spin 3 are all realized in terms of BRST constraints on these vertex operators in string theory. Using the construction, we analyze the 3-point correlator for spin 3 field and calculate Chern-Simons type cubic interactions described by 3-derivative Berends-Burgers-van Dam (BBD) type vertex in the frame-like formalism.

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