The ghost algebra and the dilute ghost algebra

DOI10.1088/1742-5468/ad1be6MaRDI QIDQ6625300

Madeline Nurcombe

Publication date: 28 October 2024

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

zbMATH Keywords

algebraic structures of integrable modelsloop models and polymers

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Conformal boundary conditions in the critical \({\mathcal O}(n)\) model and dilute loop models
• Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions
• The two-boundary Temperley-Lieb algebra.
• The blob algebra and the periodic Temperley-Lieb algebra
• Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy.
• Index for subfactors
• \(O(n)\) model on the honeycomb lattice via reflection matrices: Surface critical behaviour
• Cellular algebras
• On the structure of the blob algebra
• Standard modules, induction and the structure of the Temperley-Lieb algebra
• Motzkin algebras
• Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond.
• \(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain
• A PRESENTATION FOR THE SYMPLECTIC BLOB ALGEBRA
• Exact expressions for correlations in the ground state of the dense O(1) loop model
• Discrete holomorphicity and integrability in loop models with open boundaries
• A polynomial invariant for knots via von Neumann algebras
• Logarithmic minimal models
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

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