论文标题
3D Carroll CFT的应力张量
Stress tensors of 3d Carroll CFTs
论文作者
论文摘要
我们在三个维度（3D）中讨论共形的Carroll场理论的运动学特征。 Carroll代数的共形延伸即使在3D中也是无限的维度，与其相对论对应物不同，因此3D Carroll CFTS与2D CFT具有相似之处。我们为卡洛利亚CFT的保守费用提供了一种结构，并提供了与电荷代数相一致的应力张量操作的表达式。我们讨论了一个自由场模型，其中实现这些对称性并明确计算了验证我们的构建的操作。此外，我们评论了将这些Carrollian理论扩展到空间切片的差异形态的可能性。
We discuss kinematical features of conformal Carroll field theories in three dimensions (3d). Conformal extension of Carroll algebra is infinite dimensional even in 3d unlike its relativistic counterpart, and hence 3d Carroll CFTs share similarities with 2d CFT. We provide a construction for the conserved charges for Carrollian CFTs and an expression for stress tensor OPEs consistent with the algebra of charges. We discuss a free field model where these symmetries are realised and explicitly compute the OPEs verifying our construction. In addition we comment on the possibility of extending the conformal symmetries to diffeomorphisms of spatial slice for these Carrollian theories.
