Bulg. J. Phys. vol.35 no.s1 (2008), pp. 139-150

Decoding the Geometry of Conformal Field Theories

Daniel Roggenkamp1, Katrin Wendland2
1Department of Physics and Astronomy, Rutgers, The State University of New Jersey, 136 Frelinghuysen Road, Piscataway, NJ 08854-8019 USA
2Lehrstuhl für Analysis und Geometrie, Institut für Mathematik, Universität Augsburg, D-86135 Augsburg, Germany
Abstract. To certain geometries, string theory associates conformal field theories. We discuss techniques to perform the reverse procedure: To recover geometrical data from abstractly defined conformal field theories. This is done by introducing appropriate notions of limits of conformal field theories and their degenerations, and by applying techniques from noncommutative geometry.
This note is a summary of our work [7], aimed to be less technical than the original paper, along with some new calculations confirming our interpretation of the rescaled limiting zero mode of the Virasoro field.

Full-text: PDF

go back