发表机构
Institute for Theoretical Physics, TU Wien（维也纳工业大学理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文对具有量子共形Bondi-Metzner-Sachs对称性的二维场论施加酉性约束，通过正性条件将中心荷限制为四个值，并验证其主态谱满足类BPS和全息不等式。
AI 中文摘要
我们对二维场论施加酉性约束，这些场论的对称性构成量子共形Bondi-Metzner-Sachs代数，该代数将共形对称性与渐近平直时空的渐近对称性相结合。正性约束对中心荷给出界限，0<c<2.053。相关顶点代数的正性仅允许四个中心荷值：c = 1, 3/2, 13/7, 2。因此，仅剩四个酉场论候选者。我们计算了它们的主态谱，并表明它们与类BPS不等式和全息不等式相容。
英文摘要
We impose unitarity constraints on two-dimensional field theories whose symmetries form the quantum conformal Bondi-Metzner-Sachs algebra, which combines conformal symmetries with asymptotic symmetries of asymptotically flat spacetimes. Positivity constraints put bounds on the central charge, 0<c<2.053. Positivity of the associated vertex algebra allows only four central charges, c = 1, 3/2, 13/7, 2. Thus, only four candidates for unitary field theories remain. We calculate their spectra of primaries and show that they are compatible with BPS-like and holographic inequalities.
Comments11 pp, 2 tikz-figs
