The operator algebra of cyclic orbifolds
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Publication:6059147
DOI10.1088/1751-8121/ACFCF6arXiv2212.07678OpenAlexW4321274991MaRDI QIDQ6059147
Author name not available (Why is that?)
Publication date: 2 November 2023
Published in: (Search for Journal in Brave)
Abstract: We identify the maximal chiral algebra of conformal cyclic orbifolds. In terms of this extended algebra, the orbifold is a rational and diagonal conformal field theory, provided the mother theory itself is also rational and diagonal. The operator content and operator product expansion of the cyclic orbifolds are revisited in terms of this algebra. The fusion rules and fusion numbers are computed via the Verlinde formula. This allows one to predict which conformal blocks appear in a given four-point function of twisted or untwisted operators, which is relevant for the computation of various entanglement measures in one-dimensional critical systems.
Full work available at URL: https://arxiv.org/abs/2212.07678
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