The quantum deformed mirror TBA I

2012/08/31 by Gleb Arutyunov, Marius de Leeuw, Stijn J. van Tongeren · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/jhep10(2012)090

published as JHEP10(2012)090 · v2, 57 pages, 9 figures, as published

openalex publication_date 2012/10/01 · arxiv created 2012/10/17 · arxiv updated 2012/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS₅ x S⁵ mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show an interesting structure between a finite number of Y-functions.

Citations

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1∣s+1)
• Process of European integration
• Interpolation between Hubbard and supersymmetrict-Jmodels: two-parameter integrable models of correlated electrons
• How Algebraic Bethe Ansatz works for integrable model
• On the AdS₅/CFT₄ TBA and its analytic properties
• Boundary conditions for integrable quantum systems

Cited by

• Integrability of the AdS₅ x S⁵ superstring and its deformations