Finite Deformations of CFT and Spacetime Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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48 pages, LaTeX, RU94-5-B, Phys. Rev. D51 No 2 (only misprints correction and minor stylistic changes after the initial submit

Scientific paper

10.1103/PhysRevD.51.671

We demonstrate in detail how the space of two-dimensional quantum field theories can be parametrized by off-shell states of a free closed string moving in a flat background. The dynamic equation corresponding to the condition of conformal invariance includes an infinite number of higher order terms, and we give an explicit procedure for their calculation. The symmetries corresponding to equivalence relations of theories are described. In this framework we show how to perform nonperturbative analysis in the low-energy limit and prove that it corresponds to the Brans-Dicke theory of gravity interacting with a skew symmetric tensor field.

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