论文标题
$ \ MATHCAL {n} = 4 $ super-yang-mills with $ su（1,1）$对称性
Nonrelativistic near-BPS corners of $\mathcal{N}=4$ super-Yang-Mills with $SU(1,1)$ symmetry
论文作者
论文摘要
我们考虑$ \ MATHCAL {N} = 4 $ SUPER YANG-MILLS（SYM）理论的限制，即BPS界限，并为其保留$ SU（1,1）$结构。由此产生的近BP理论成为非友善主义，$ u（1）$对称性在限制中，暗示粒子数的保护。它们是通过在三个球员上减少$ \ Mathcal {n} = 4 $ sym来获得的，然后随后集成了随着界限即可到达非动力的字段。在量化并考虑到正常订购的情况下，它们与直接采用扩张算子的适当限制一致，从而对应于文献中先前在文献中发现的自旋矩阵理论。在$ su（1,1 | 1）$接近bps/旋转矩阵理论的特殊情况下，我们发现了适用于完整相互作用理论的超场公式。此外，对于所有理论，我们都发现诱人的简单的半本地表述是一种圆圈的理论。最后，我们发现所有理论的经典限制中相互作用的正定表达式，可用于探索其强耦合极限。本文将有一份伴侣论文，在该论文中，我们探讨了BPS范围，并保留了$ su（2,1）$结构。
We consider limits of $\mathcal{N}=4$ super Yang-Mills (SYM) theory that approach BPS bounds and for which an $SU(1,1)$ structure is preserved. The resulting near-BPS theories become non-relativistic, with a $U(1)$ symmetry emerging in the limit that implies the conservation of particle number. They are obtained by reducing $\mathcal{N}=4$ SYM on a three-sphere and subsequently integrating out fields that become non-dynamical as the bounds are approached. Upon quantization, and taking into account normal-ordering, they are consistent with taking the appropriate limits of the dilatation operator directly, thereby corresponding to Spin Matrix theories, found previously in the literature. In the particular case of the $SU(1,1|1)$ near-BPS/Spin Matrix theory, we find a superfield formulation that applies to the full interacting theory. Moreover, for all the theories we find tantalizingly simple semi-local formulations as theories living on a circle. Finally, we find positive-definite expressions for the interactions in the classical limit for all the theories, which can be used to explore their strong coupling limits. This paper will have a companion paper in which we explore BPS bounds for which a $SU(2,1)$ structure is preserved.
