CLASSIFICATION OF POISSON–LIE T-DUAL MODELS WITH TWO-DIMENSIONAL TARGETS

DOI10.1142/S0217732302006515zbMath1083.81005arXivhep-th/0110139OpenAlexW2014753573MaRDI QIDQ5312261

Ladislav Hlavatý, Libor Šnobl

Publication date: 31 August 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0110139

zbMATH Keywords

string theoryDrinfeld doublessigma modelsManin triplesPoisson--Lie \(T\)-duality

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lie bialgebras; Lie coalgebras (17B62)

Related Items (9)

CLASSIFICATION OF SIX-DIMENSIONAL REAL DRINFELD DOUBLES ⋮ One-loop renormalizability of all 2-dimensional Poisson-Lie \(\sigma\)-models ⋮ Poisson-Lie T-plurality revisited. Is T-duality unique? ⋮ Curvature from quantum deformations ⋮ On the Poisson-Lie T-plurality of boundary conditions ⋮ BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators ⋮ Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group \(H_4\) ⋮ The Poincaré group as a Drinfel’d double ⋮ Drinfel’d superdoubles and Poisson–Lie T-plurality in low dimensions

Cites Work

• \(SU(2)\) Poisson-Lie \(T\) duality
• Poisson-Lie \(T\)-duality and Bianchi type algebras
• Poisson-Lie \(T\)-duality for quasitriangular Lie bialgebras

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