Large Conformal Deformations and Spacetime Structure

TL;DR

This paper explores how two-dimensional quantum field theories can be described using off-shell string states, deriving a dynamic equation for conformal invariance and connecting it to Brans-Dicke gravity in the low-energy limit.

Contribution

It provides an explicit procedure for calculating higher order terms in the conformal invariance condition and links nonperturbative analysis to a gravity theory involving a skew symmetric tensor.

Findings

Derived an explicit method for higher order term calculation.

Connected low-energy limit to Brans-Dicke gravity.

Outlined symmetries of conformal field theories.

Abstract

We demonstrate in detail how the space of two-dimensional quantum field theories can be parametrized by off-shell closed string states. 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 CFT 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. (Talk presented at the Gursey memorial conference, Istanbul, Turkey, June, 1994.)