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arXiv 0901.2311hep-th
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复流形上的U(N)自旋粒子和高阶自旋方程

U(N) spinning particles and higher spin equations on complex manifolds

Fiorenzo Bastianelli, Roberto Bonezzi

摘要:

在世界线上具有U(N)-扩展超引力的自旋粒子模型的指导下,我们导出了复流形上的高自旋方程。它们的最小公式是用满足适当约束的规范场表示的。后者可以通过引入补偿场来放松。有一个障碍,以定义这些系统的任意弯曲的空间,就像在通常的理论较高的自旋领域,但我们展示了如何将它们耦合到Kaehler流形的常全纯曲率。非常有趣的是,定义这些流形上U(N)粒子的第一类规范代数是二次的,并且实现了Bershadsky和Knizhnik在2D中介绍的某些非线性U(N)超共形代数的零模扇区。

英文摘要:

Guided by a spinning particle model with U(N)-extended supergravity on the worldline we derive higher spin equations on complex manifolds. Their minimal formulation is in term of gauge fields which satisfy suitable constraints. The latter can be relaxed by introducing compensator fields. There is an obstruction to define these systems on arbitrarily curved spaces, just as in the usual theory of higher spin fields, but we show how to couple them to Kaehler manifolds of constant holomorphic curvature. Quite interestingly, the first class gauge algebra defining the U(N) particles on these manifolds is quadratic and realizes the zero mode sector of certain nonlinear U(N) superconformal algebras introduced sometimes ago by Bershadsky and Knizhnik in 2D.

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。

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