paper

1+1 Sector of 3+1 Gravity

arXiv:gr-qc/9604003 · doi:10.1088/0264-9381/13/8/003

Abstract

The rank--1 sector of classical Ashtekar gravity is considered, motivated by the degeneracy of the metric along the Wilson lines in quantum loop states. It is found that the lines behave like 1+1 dimensional spacetimes with a pair of massless complex fields propagating along them. The inclusion of matter and extension to supergravity are also considered.

9 pages, plain Latex, no figures

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