论文标题

n = 3个来自OSP(3 | 2)不变的超级施瓦尔兹安

N=3 super-Schwarzian from OSp(3|2) invariants

论文作者

Galajinsky, Anton

论文摘要

最近证明,可以通过将非线性实现的方法应用于有限维(SUPER)共形组SL(2,R),OSP(1 | 2),SU(1,1 | 1)和SU(1,1,1 | 2),可以通过将非线性实现方法应用于有限维(超级)共形组SL(2,R)和SU(1,1 | 2)来构建。在这项工作中,针对OSP(3 | 2)实现了类似的方案。结果表明,n = 3个案例表现出令人惊讶的不变性结构,n = 3超级 - 奇瓦兹人是一个特定的成员。我们建议,额外的不变性可能在构建sachdev-ye-kitaev模型的n = 3超对称扩展方面很有用。

It was recently demonstrated that the N=0,1,2,4 super-Schwarzian derivatives can be constructed by applying the method of nonlinear realizations to the finite-dimensional (super)conformal groups SL(2,R), OSp(1|2), SU(1,1|1), and SU(1,1|2), respectively. In this work, a similar scheme is realised for OSp(3|2). It is shown that the N=3 case exhibits a surprisingly richer structure of invariants, the N=3 super-Schwarzian being a particular member. We suggest that the extra invariants may prove useful in building an N=3 supersymmetric extension of the Sachdev-Ye-Kitaev model.

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