Quantum geometry of a conformal field theory |
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Affiliation: | 1. Department of Chemistry, The Pennsylvania State University, University Park, PA, USA 16802;2. Department of Biochemistry and Molecular Biology, The Pennsylvania State University, University Park, PA, USA 16802 |
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Abstract: | We show that the central extension of the conformal algebra for the energy momentum tensor of quantized two-dimensional Weyl-Majorana fields coincides with Berry's curvature for adiabatic transport of quantum states on the space of diffeomorphisms. We present explicit expressions for Berry's curvature and connection. |
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