Exact \(S\)-matrix and perturbative calculations in affine Toda theories based on Lie superalgebras.

DOI10.1016/0550-3213(91)90295-9zbMath1098.81824OpenAlexW2007626016MaRDI QIDQ851059

Gustav W. Delius, Silvia Penati, Daniela Zanon, Marcus T. Grisaru

Publication date: 10 November 2006

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

Full work available at URL: https://doi.org/10.1016/0550-3213(91)90295-9

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Graded Lie (super)algebras (17B70)

Related Items (13)

Root systems and purely elastic \(S\)-matrices. II ⋮ Exact \(S\)-matrices for \(d_{n+1}^{(2)}\) affine Toda solitons and their bound states ⋮ From tree- to loop-simplicity in affine Toda theories. II: Higher-order poles and cut decompositions ⋮ From tree- to loop-simplicity in affine Toda theories. I: Landau singularities and their subleading coefficients ⋮ One-loop inelastic amplitudes from tree-level elasticity in 2d ⋮ Off-critical lattice analogues of \(N=2\) supersymmetric quantum integrable models ⋮ Aspects of affine Toda field theory ⋮ The exact \(S\)-matrix for an \(\text{osp}(2| 2)\) disordered system. ⋮ Quantum anomalies in $ A_r^{(1)} $ Toda theories with defects ⋮ Quantum conserved currents in affine Toda theories ⋮ Exact \(S\)-matrices for non-simply-laced affine Toda theories ⋮ Tree level integrability in 2d quantum field theories and affine Toda models ⋮ Liouville field theory coupled to a critical Ising model: non-perturbative analysis, duality and applications

Cites Work

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• The exact \(S\)-matrices associated to non-simply laced affine Toda field theories: the \(B^{(1)}_n\) and \(C^{(1)}_n\) cases
• Quantum R matrix for the generalized Toda system
• Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Affine Toda field theory and exact \(S\)-matrices

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