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Grand-canonical symmetric orbifold theories

Lior Benizri

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Phys. Rev. D 113, 026022 – Published 26 January, 2026

DOI: https://doi.org/10.1103/gjtd-n16t

Abstract

In this article, we study grand-canonical symmetric orbifolds of conformal field theories. We propose to define them as the direct sum of symmetric orbifolds of all degrees. The natural basis of operators is one that mixes all sectors. We describe this basis in terms of partial permutations and explain how to define and calculate the operator product expansion in that framework. Our construction provides a conformal field theory interpretation of the central charge operator I in AdS3 string theory.

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Phys. Rev. D 113, 026022– Published 26 January, 2026
  • Received 21 October 2025
  • Accepted 8 January 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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