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arXiv · hep-th/9610057

Gravitational Dressing of Aharonov-Bohm Amplitudes

G. Amelino-Camelia·I. I. Kogan·R. J. Szabo
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Abstract

We investigate Aharonov-Bohm scattering in a theory in which charged bosonic matter fields are coupled to topologically massive electrodynamics and topologically massive gravity. We demonstrate that, at one-loop order, the transmuted spins in this theory are related to the ones of ordinary Chern-Simons gauge theory in the same way that the Knizhnik-Polyakov-Zamolodchikov formula relates the Liouville-dressed conformal weights of primary operators to the bare weights in two-dimensional conformal field theories. We remark on the implications of this connection between two-dimensional conformal field theories and three-dimensional gauge and gravity theories for a topological membrane reformulation of strings. We also discuss some features of the gravitational analog of the Aharonov-Bohm effect.

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G. Amelino-Camelia, I. I. Kogan, R. J. Szabo. 1996-10-09. Gravitational Dressing of Aharonov-Bohm Amplitudes. https://doi.org/10.1142/s0217751x97000773

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