Amplitudes for topology change in Turaev-Viro theory

Details Amplitudes for topology change in Turaev-Viro theory Amplitudes for topology change in Turaev-Viro theory

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cqgra..15.1885i&link_type=abstract

Classical and Quantum Gravity, Volume 15, Issue 7, pp. 1885-1894 (1998).

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We investigate the Turaev-Viro invariant (partition function) for 3-manifolds with a boundary. In the framework of a TQFT, the partition function 0264-9381/15/7/007/img1 of such a manifold can be interpreted as a transition amplitude for topology change 0264-9381/15/7/007/img2 in 3D gravity. We show that for 0264-9381/15/7/007/img3 boundaries 0264-9381/15/7/007/img4 factorizes into a term which contains the boundary dependence and another which depends only on the topology of the underlying manifold. For a general 0264-9381/15/7/007/img5 boundary this factorization holds only in a particular case. We construct specific examples of partition functions for the 3-ball 0264-9381/15/7/007/img6, the cylinder 0264-9381/15/7/007/img7 and the genus-1 handlebody 0264-9381/15/7/007/img8.

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