Gravitational Dressing of Aharonov-Bohm Amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

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10 pages, LaTex, uses macro package FEYNMAN.tex Presented by G. Amelino-Camelia at the Workshop on Low Dimensional Field Theor

Scientific paper

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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