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- W3101635729 abstract "The theory of elasticity (a.k.a. Riva-Cardy model) has been regarded as an example of scale invariant but not conformal field theories. We argue that in $d=2$ dimensions, the theory has hidden global conformal symmetry of $SL(2,mathbb{R}) times SL(2,mathbb{R})$ without its Virasoro extension. More precisely, we can embed all the correlation functions of the displacement vector into a global conformal field theory with four-derivative action in terms of two scalar potential variables, which necessarily violates the reflection positivity. The energy-momentum tensor for the potential variables cannot be improved to become traceless so that it does not show the Virasoro symmetry even with the existence of global special conformal current." @default.
- W3101635729 created "2020-11-23" @default.
- W3101635729 creator A5044163982 @default.
- W3101635729 date "2016-09-01" @default.
- W3101635729 modified "2023-10-14" @default.
- W3101635729 title "Hidden global conformal symmetry without Virasoro extension in theory of elasticity" @default.
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- W3101635729 doi "https://doi.org/10.1016/j.aop.2016.06.010" @default.
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