Hidden global conformal symmetry without Virasoro extension in theory of elasticity

作者：Nakayama Yu^*

来源：Annals of Physics, 2016, 372: 392-396.

DOI：10.1016/j.aop.2016.06.010

• Conformal invariance
• Virasoro algebra
• Scale invariance

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, lR) x SL(2, 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.

• 出版日期2016-9