Loop quantum gravity simplicity constraint as surface defect in complex Chern-Simons theory

Muxin Han and Zichang Huang
Phys. Rev. D 95, 104031 – Published 22 May 2017

Abstract

The simplicity constraint is studied in the context of four-dimensional spinfoam models with a cosmological constant. We find that the quantum simplicity constraint is realized as the two-dimensional surface defect in SL(2,C) Chern-Simons theory in the construction of spinfoam amplitudes. By this realization of the simplicity constraint in Chern-Simons theory, we are able to construct the new spinfoam amplitude with a cosmological constant for an arbitrary simplicial complex (with many 4-simplices). The semiclassical asymptotics of the amplitude is shown to correctly reproduce the four-dimensional Einstein-Regge action with a cosmological constant term.

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  • Received 12 February 2017

DOI:https://doi.org/10.1103/PhysRevD.95.104031

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Muxin Han1,2,* and Zichang Huang1,†

  • 1Department of Physics, Florida Atlantic University, 777 Glades Road, Boca Raton, Florida 33431-0991, USA
  • 2Institut für Quantengravitation, Universität Erlangen-Nürnberg, Staudtstr. 7/B2, 91058 Erlangen, Germany

  • *hanm@fau.edu
  • zhuang2014@fau.edu

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Issue

Vol. 95, Iss. 10 — 15 May 2017

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