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Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.

3 votes
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Calculation of commutation relations in the SYK model

I'm reading this paper (https://arxiv.org/abs/1604.07818). And I'm having trouble showing an equality. We consider the following $SL(2,R)$ generators. \begin{align} D=-t\partial_t-\frac{1}{4},\ P=\par …
Pefkin's user avatar
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4 votes
1 answer
395 views

The Sachdev-Ye-Kitaev (SYK) model and conformal $SL(2,\mathbb{R})$ symmetry in 0+1D

Several papers have argued that it has only $SL(2,\mathbb{R})$ symmetry. I would like to prove this, but I'm not sure how to do it. …
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