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Phys. Rev. D 58, 084033 (1998) [5 pages]

Nonperturbative dynamics for abstract (p,q) string networks

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Fotini Markopoulou* and Lee Smolin
Center for Gravitational Physics and Geometry Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802

Received 11 May 1998; published 28 September 1998

We describe abstract (p,q) string networks which are the string networks of Sen without the information about their embedding in a background spacetime. The non-perturbative dynamical formulation invented for spin networks, in terms of causal evolution of dual triangulations, is applied on them. The formal transition amplitudes are sums over discrete causal histories that evolve (p,q) string networks. The dynamics depend on two free SL(2,Z) invariant functions which describe the amplitudes for the local evolution moves.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.58.084033
DOI:
10.1103/PhysRevD.58.084033
PACS:
04.60.Ds

*Email address: fotini@phys.psu.edu

Email address: smolin@phys.psu.edu