Duality transformations away from conformal points

Boosting Away Singularities from Conformal String Backgrounds

Generalizing our previous work, we show how O(d, d) transformations can be used to " boost away " in new dimensions the physical singularities that occur generically in cosmological and/or black-hole conformal string backgrounds. As an example, we show how a recent model by Nappi and Witten can be made singularity-free via O(3, 3) boosts involving a fifth dimension.

Boosting Away Singularities from Conformal String Backgrounds

Generalizing our previous work, we show how O(d; d) transformations can be used to "boost away" in new dimensions the physical singularities that occur generically in cosmological and/or black-hole conformal string backgrounds. As an example, we show how a recent model by Nappi and Witten can be made singularity-free via O(3; 3) boosts involving a fth dimension.

Kramers-wannier duality from conformal defects.

We demonstrate that the fusion algebra of conformal defects of a two-dimensional conformal field theory contains information about the internal symmetries of the theory and allows one to read off generalizations of Kramers-Wannier duality. We illustrate the general mechanism in the examples of the Ising model and the three-state Potts model.

Duality and conformal structure

In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two-forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is established. This is true for metrics of arbitrary (nondegenerate) signature. For Euclidean signature a stronger result, namely, that the conformal class of the metric is compl...

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles