On the massless modes of the AdS3/CFT2 integrable systems

2012/11/08 by Olof Ohlsson Sax, Sax, Olof Ohlsson, Bogdan Stefanski jr +5 · 7 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Integrable system #Limit (mathematics) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.48550/arxiv.1211.1952

published in arXiv (Cornell University) (Cornell University) · 83 pages, 13 figures. v2: fixed typos and references. v3: extended appendix C

openalex publication_date 2012/11/08 · arxiv created 2013/02/23 · arxiv updated 2013/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/09

Abstract

We make a proposal for incorporating massless modes into the spin-chain of the AdS3/CFT2 integrable system. We do this by considering the alpha to 0 limit of the alternating d(2,1;alpha)² spin-chain constructed in arXiv:1106.2558. In the process we encounter integrable spin-chains with non-irreducible representations at some of their sites. We investigate their properties and construct their R-matrices in terms of Yangians.

Citations

• Yangian Double and Rational R-matrix
• The Veneziano Limit of N=2 Superconformal QCD: Towards the String Dual of N=2 SU(N_c) SYM with N_f =2 N_c
• How Algebraic Bethe Ansatz works for integrable model
• A planar diagram theory for strong interactions
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• The gravity duals of N=2 superconformal field theories
• Spin Chains in N=2 Superconformal Theories: from the Z₂ Quiver to Superconformal QCD
• Integrability, spin-chains and the AdS3/CFT2 correspondence

Cited by

• On the spectrum of AdS3×S3×T4strings with Ramond–Ramond flux
• Worldsheet scattering in AdS3/CFT2

Related

• On factorising twists in AdS₃ and AdS₂
• The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: the massive sector
• Current Exchanges for Reducible Higher Spin Modes on AdS
• Integrable systems and AdS/CFT duality
• Integrable and critical Haagerup spin chains