Non-abelian Toda theory: A completely integrable model for strings on a black hole background

DOI10.1016/0550-3213(94)00149-9zbMath0990.81695arXivhep-th/9312108OpenAlexW2051841553MaRDI QIDQ1967455

Adel Bilal

Publication date: 6 March 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9312108

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (15)

NONLOCAL EXTENDED CONFORMAL ALGEBRAS ASSOCIATED WITH MULTICONSTRAINT KP HIERARCHY AND THEIR FREE FIELD REALIZATIONS ⋮ Non-local matrix generalizations of \(W\)-algebras ⋮ Maximally non-abelian Toda systems ⋮ Exact solution of the SL\((2,\mathbb{R})/U(1)\) WZNW model ⋮ Free-field realizations of the W_{𝒜 n , N} -algebra ⋮ Classical extended conformal algebras associated with constrained KP hierarchy ⋮ Integrable systems of chiral type ⋮ Consistent string backgrounds and completely integrable 2D field theories ⋮ Quantum parafermions in the \(\text{SL}(2,\mathbb{R})/\text{U}(1)\) WZNW black hole model ⋮ \(W\)-algebras for non-abelian Toda systems ⋮ Dispersionless noncommutative Kadomtsev-Petviashvili hierarchy: multi-Hamiltonian structure and large N-like V-algebras ⋮ \(T\)-duality of axial and vector dyonic integrable models ⋮ Integration of the \(\text{SL}(2,{\mathbb{R}})/\text{U}(1)\) gauged WZNW model with periodic boundary conditions ⋮ Non-abelian Toda theory on \( \mathrm{AdS}_{2} \) and \( \mathrm{AdS}_{2}/\mathrm{CFT}_{2}^{1/2}\) duality ⋮ Nonabelian Toda theories from parafermionic reductions of the WZW model

Cites Work

• Two-dimensional exactly and completely integrable dynamical systems
• Non-local matrix generalizations of \(W\)-algebras
• String theory and black holes

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