arXiv 1808.074632018-08hep-th

粒子的量子化与线性无质量解

Quantization of the particle with a linear massless solution

Renann Lipinski Jusinskas

备注：: 20 pages. Small clarification added to the published version
发表信息：: JHEP11(2018)019
DOI：: 10.1007/JHEP11(2018)019

摘要：

在这项工作中，一个解决方案的线性动量的无质量约束$P^{m}P_{m}=0$进行了研究。它是在$SO(2n,\mathbb{C})$ $U(n)$分解和解释的投射纯旋量，这是已知的参数化的$\tfrac{SO(2n)}{U(n)}$陪集。的世界线的行动是量化使用的BRST形式主义，并使用Berkovits和Cherkis的结果，鬼数零波函数示出生成无质量的解决方案，为任意自旋的场方程。该模型可以用Berkovits最近在$D=10$中提出的作用，以类扭曲约束的形式协变地表示。然而，对它的规范对称性的彻底解释并不能导致时空超对称理论。为了从第一性原理导出纯旋量形式的超粒子，提出了一个具有部分世界线超对称性的新模型。规范代数，然后分析内的Batalin-Vilkovisky形式主义和规范的固定作用量，最后示出描述的纯旋量超粒子倍的$U(1)$去耦部门。

英文摘要：

In this work, a solution linear in the momentum for the massless constraint $P^{m}P_{m}=0$ is investigated. It is presented in terms of a $SO(2n,\mathbb{C})$ to $U(n)$ decomposition and interpreted in terms of projective pure spinors, which are known to parametrize the $\tfrac{SO(2n)}{U(n)}$ coset. The worldline action is quantized using the BRST formalism and, using the results of Berkovits and Cherkis, the ghost number zero wave function is shown to generate massless solutions for field equations of arbitrary spin. The model can be covariantly expressed by the action recently proposed in $D=10$ by Berkovits, in terms of a twistor-like constraint. However, a thorough account of its gauge symmetries does not lead to a spacetime supersymmetric theory. In order to derive from first principles the superparticle in the pure spinor formalism, a new model is proposed with partial worldline supersymmetry. The gauge algebra is then analyzed within the Batalin-Vilkovisky formalism and the gauge fixed action is finally shown to describe the pure spinor superparticle times a $U(1)$ decoupled sector.

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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