The Kauffman bracket and the Jones polynomial in quantum gravity

DOI10.1016/0550-3213(96)00106-XzbMath1003.83509arXivgr-qc/9510050OpenAlexW3099616168WikidataQ127214643 ScholiaQ127214643MaRDI QIDQ1911386

Jorge Griego

Publication date: 24 April 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9510050

zbMATH Keywords

loop representationHamiltonian constraintknot invariantsquantum statesChern Simons form

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45)

Related Items (5)

The curvature excitation of quantum Wilson loop in (\(R + R^2\))--gravity ⋮ DIFFEOMORPHISM, HAMILTONIAN CONSTRAINTS AND MANDELSTAM IDENTITIES OVER EXTENDED KNOT FAMILIES $\{\psi_i\}_2^2$ AND $\{\psi_i\}_3^4$ ⋮ COSMOLOGICAL TERM AND EXTENDED LOOP REPRESENTATION OF QUANTUM GRAVITY ⋮ STRUCTURE OF EXTENDED LOOP WAVE FUNCTION IN QUANTUM GRAVITY AND OPERATOR FORMALISM ⋮ Calculation of curvature vacuum correlations in R-gravity

Cites Work

• Quantum field theory and the Jones polynomial
• How the Jones polynomial gives rise to physical states of quantum general relativity
• The extended loop group: An infinite dimensional manifold associated with the loop space
• Weaving a classical metric with quantum threads
• Knot polynomial states of quantum gravity in terms of loops and extended loops: Some remarks

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