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arXiv · 1105.2212

Cosmological Constant in LQG Vertex Amplitude

Muxin Han
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Abstract

A new q-deformation of the Euclidean EPRL/FK vertex amplitude is proposed by using the evaluation of the Vassiliev invariant associated with a 4-simplex graph (related to two copies of quantum SU(2) group at different roots of unity) embedded in a 3-sphere. We show that the large-j asymptotics of the q-deformed vertex amplitude gives the Regge action with a cosmological constant. In the end we also discuss its relation with a Chern-Simons theory on the boundary of 4-simplex.

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Muxin Han. 2011-06-12. Cosmological Constant in LQG Vertex Amplitude. https://doi.org/10.1103/physrevd.84.064010

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