Symbol ##\supset## Meaning in Eqs. 3.1 & 3.2

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The symbol ##\supset## in equations (3.1) and (3.2) of the paper "https://arxiv.org/pdf/1701.07427.pdf" denotes an interaction Lagrangian, specifically indicating a subset of the total Lagrangian, denoted as ##\mathcal{L}##. This notation is utilized to streamline the representation of the equations without the need to define a new variable. The context suggests that the authors aim to emphasize the interaction components rather than the entire Lagrangian framework.

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George Jones
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Looks very odd to me. From the surrounding text they appear to only be discussing a "subset" of the total Lagrangian, ##\mathcal{L}##. That's my best guess. The usual option would be to define a new variable, but I guess this is meant to avoid doing that.
 
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It's the interaction Lagrangian and not the total Lagrangian.
 
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