Bulgarian Journal of Physics

Bulgarian Journal of Physics

Print: 1310-0157 Online: 1314-2666

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

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.

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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

2-8 July 2023 The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.

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

Decoding the Geometry of Conformal Field Theories

Full-text: PDF

2-8 July 2023
The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.