Summing over all Topologies in CDT String Field Theory

Details Summing over all Topologies in CDT String Field Theory Summing over all Topologies in CDT String Field Theory

2009-05-13

arxiv.org/abs/0905.2108v2

Phys.Lett.B678:227-232,2009

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.physletb.2009.06.031

By explicitly allowing for topology to change as a function of time, two-dimensional quantum gravity defined through causal dynamical triangulations gives rise to a new continuum string field theory. Within a matrix-model formulation we show that -- rather remarkably -- the associated sum over all genera can be performed in closed form, leading to a nonperturbative definition of CDT string field theory. We also obtain explicit formulas for the n-loop correlation functions. Our construction exhibits interesting parallels with previous, purely Euclidean treatments.

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