发表机构
Lebedev Physical Institute（列别杰夫物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
利用AdS空间的庞加莱参数化，为自由场建立BRST-BV形式，得到任意质量和对称类型场的拉格朗日量，并应用于全对称无质量、有质量、部分有质量及连续自旋场，展示与度规形式拉格朗日量的匹配，实现AdS空间对称性。
AI 中文摘要
我们利用AdS空间的庞加莱参数化，为自由场发展了一种通用的BRST-BV方法。得到了具有任意质量和对称类型的场的BRST-BV拉格朗日量的通用表达式。我们将这一通用框架应用于研究具有任意整数自旋的全对称无质量、有质量和部分有质量场以及连续自旋场。对于这些场，我们发展了有约束和无约束的BRST-BV形式。此外，我们证明了所得到的BRST-BV拉格朗日量与用修正的de Donder散度表述的度规形式拉格朗日量之间的匹配。最后，在进入BRST-BV形式的场和反场空间中，实现了AdS空间对称性。
英文摘要
We use the Poincare parametrization of AdS space to develop a general BRST-BV approach for free fields. A general expression for the BRST-BV Lagrangian of fields with arbitrary masses and symmetry types is obtained. We apply this general framework to study totally symmetric massless, massive, and partially-massless fields with arbitrary integer spin and a continuous-spin field. For these fields, the constrained and unconstrained BRST-BV formulations are developed. We investigate both irreducible and reducible fields. In addition, we demonstrate the matching between the obtained BRST-BV Lagrangian and the metric-like Lagrangian formulated in terms of the modified de Donder derivative. Finally, a realization of AdS space symmetries is obtained within the space of fields and antifields entering the BRST-BV formulation. Modulo the choice of the Poincare parametrization of AdS space, the Lagrangian and the entire approach are manifestly Lorentz invariant.
Commentsv4: Result for continuous-spin field in Eq.(5.6) is represented in form that makes it easier to compare with the light-cone gauge formulation
