发表机构
Department of Theoretical Physics, Tata Institute of Fundamental Research（塔塔基础研究所理论物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明幺正超对称共形场论的光射线代数包含普适超对称广义BMS代数，并利用局域超对称代数推导出平均零能量条件（ANEC），在自由无质量超对称理论中验证了结果。
AI 中文摘要
我们证明，幺正超对称洛伦兹共形场论的光射线代数包含一个普适的超对称广义$\mathfrak{bms}$代数。我们利用超对称流、$R-$对称流以及支撑在余维一零超曲面上的应力张量构造了平行光射线算子，并在$d=3,4$中确定了它们的阶化对易子以验证这一论断。我们的构造仅依赖于全局超对称以及诸如微观因果性、幺正性和洛伦兹不变性等基本物理原理，因此适用于强耦合理论。作为推论，我们利用零片上的局域超对称代数证明了平均零能量算子是正算子，从而提供了平均零能量条件（ANEC）的超对称推导。最后，我们在自由无质量超对称理论中验证了我们的结果，并提出了支持局域超对称即使在一般超对称量子场论中也能确保持续满足ANEC的论据。
英文摘要
We show that the light-ray algebra of unitary supersymmetric Lorentzian conformal field theories contains a universal supersymmetric generalized $\mathfrak{bms}$ algebra. We construct parallel light-ray operators using the supersymmetry current, $R-$symmetry current and the stress tensor supported on a co-dimension one null hypersurface and determine their graded commutators in $d=3,4$ to verify this claim. Our construction only relies on global supersymmetry and fundamental physical principles such as microcausality, unitarity and Lorentz invariance and thus applies to strongly coupled theories. As a corollary, we show that the averaged null energy operator is a positive operator using the local supersymmetry algebra on the null sheet, providing a supersymmetric derivation of the averaged null energy condition (ANEC). Finally, we verify our results in free massless supersymmetric theories and present arguments to support that the local supersymmetry continues to ensure the ANEC is satisfied even in general supersymmetric quantum field theories.
Comments25 pages main-text+18 pages appendices
