arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1603.03050hep-th
收藏

非平凡背景下高自旋场的注记

Comments on Higher-Spin Fields in Nontrivial Backgrounds

Rakibur Rahman, Massimo Taronna

备注：
typos corrected, references added; contributed to the proceedings of the "International Workshop on Higher Spin Gauge Theories", Singapore 4-6 November 2015
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

本文研究了非平凡背景下全对称有质量玻色子场的自由传播。平坦空间中动力学方程和约束的相互相容性等于存在由d'Alembertian算子、散度算子和迹算子构成的Abel代数。后者与对称化梯度、对称化度量和自旋算子一起，实际上生成了一个更大的非阿贝尔代数，我们称之为“一致性”代数。我们认为，在非平凡的背景下，这是一些变形版本的代数，管理系统的一致性。例如，这可以从背景规范场的带电开弦理论中得到启发，其中维拉索罗代数确保了一致的传播。对于引力背景，我们概述了一个系统的程序变形的一致性代数的生成元，以便他们的收敛。我们发现，等半径AdSp X Sq流形，任意p和q，承认一致传播的大规模和无质量的领域，与变形，不包括高导数项，但在曲率是非解析的。我们认为，解析的变形为一个通用的流形可能需要包括混合对称张量场一样，在弦论。

英文摘要：

We consider the free propagation of totally symmetric massive bosonic fields in nontrivial backgrounds. The mutual compatibility of the dynamical equations and constraints in flat space amounts to the existence of an Abelian algebra formed by the d'Alembertian, divergence and trace operators. The latter, along with the symmetrized gradient, symmetrized metric and spin operators, actually generate a bigger non-Abelian algebra, which we refer to as the "consistency" algebra. We argue that in nontrivial backgrounds, it is some deformed version of this algebra that governs the consistency of the system. This can be motivated, for example, from the theory of charged open strings in a background gauge field, where the Virasoro algebra ensures consistent propagation. For a gravitational background, we outline a systematic procedure of deforming the generators of the consistency algebra in order that their commutators close. We find that equal-radii AdSp X Sq manifolds, for arbitrary p and q, admit consistent propagation of massive and massless fields, with deformations that include no higher-derivative terms but are non-analytic in the curvature. We argue that analyticity of the deformations for a generic manifold may call for the inclusion of mixed-symmetry tensor fields like in String Theory.

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。

↑