Grand-Canonical Symmetric Orbifold Theories

2025/10/03 by Lior Benizri, Benizri, Lior · 2 citations
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematics and Applications #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.2510.03132

openalex publication_date 2025/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this letter, 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.

Citations

• Interface Correlators in Symmetric Product Orbifolds
• Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds
• The String Dual to Two-dimensional Yang-Mills Theory Revisited
• Deriving the long-string CFT in AdS₃
• Topological defects and tensionless holography
• The Operator Rings of Topological Symmetric Orbifolds and their Large N Limit
• D-branes in AdS₃× S³× \mathbbT⁴ at k=1 and their holographic duals
• The Algebra of Conjugacy Classes in Symmetric Groups and Partial Permutations

Cited by

• Interface Correlators in Symmetric Product Orbifolds
• Inverse Monoid Topological Quantum Field Theories and Open-Closed Grand Canonical Symmetric Orbifolds

Related

• Permutation Orbifolds in Conformal Field Theories and String Theory
• The General Class of String Theories on Orbifolds
• Long Strings and Symmetric Product Orbifold from the AdS₃ Bethe\n Equations
• Comments on Integrability in the Symmetric Orbifold
• On type II string theory on AdS₃× S³× T⁴ and symmetric orbifolds