Conformally invariant cluster value theory

Is mass conformally invariant ?

By using the Garfinkle, Horowitz and Strominger black hole solutions as examples, we illustrate that, with respect to the reference action functional proposed by Hawking and Horowitz, the asymp-totic mass parameter is not invariant between two conformally related static spherically symmetric metrics.

Does Superstring Theory Have a Conformally Invariant Limit?

This talk describes a proposal, due to Hull, for a conformally invariant limit of superstring theory in six dimensions. Talk presented at the Ninth Marcel Grossmann Meeting (MG9) Work supported in part by the U.S. Dept. of Energy under Grant No. DE-FG03-92-ER40701.

Minimization of Conformally Invariant Energies

Conformally Invariant Non-local Operators

On a conformal manifold with boundary, we construct conformally invariant local boundary conditions B for the conformally invariant power of the Laplacian k , with the property that ( k , B) is formally self-adjoint. These boundary problems are used to construct conformally invariant nonlocal operators on the boundary Σ, generalizing the conformal Dirichlet-to-Robin operator, with principal par...

Conformally Invariant Off - shell Strings ∗

Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invari-ance. These continuations possess unusual, apparently stringy, characteristics, as we illustrate with our results for three-point functions. 1. The Polyakov functional integral The Polyakov path integral 1 appears only a recipe ...