Two-dimensional gravity as the gauge theory of the Clifford algebra for an even-dimensional generalized Chern-Simons action

Mathematics – Logic

Scientific paper

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Gauge Field Theories, Classical General Relativity

Scientific paper

We investigate the two-dimensional version of the Chern-Simons action derived from the recently proposed even-dimensional generalized Chern-Simons action. We show that the two-dimensional topological gravity emerges if we choose the Clifford algebra as a nonstandard gauge symmetry algebra required from the generalized Chern-Simons action. We find a ``hidden order parameter'' which differentiates the gravity phase and nongravity phase.

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