unesp2002
1-6 July 2002
São Paulo, Brazil
published December 01, 2002
São Paulo, Brazil
published December 01, 2002
The workshop is devoted to the research work being developed in some areas of Physics and Mathematics relevant for the understanding of non-perturbative aspects of Physical Theories. Special attention is given to the role of solitons, infinite symmetries, integrability structures and the construction of exact methods. Among the topics covered are: Two dimensional integrable models, Skyrmions, Monopoles, higher dimensional integrable theories, Lattice models, Form factors, Bethe ansatz, Duality, Strings and solitons, Models with boundaries, and integrable models with non-commutative geometries.
Editorial Board
Ferreira Agostinho Luiz (chairman), Gomes Francisco Jose, Zimerman Hirsz Abraham
| Session1: Two dimensional integrable models |
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A statistical approach of the decay of a soliton in a randomly perturbed Toda chain
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WDVV equations, Darboux-Egoroff metric and the dressing method
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Dynamical r-matrices and Poisson-Lie symmetries in the chiral WZNW model
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Dynamical R-matrices for the Calogero models
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The Euler equations in the columnar and rotational approximation: a model equation for asymptotic short capillary-gravity waves
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Aspects of the homogeneous Sine-Gordon models
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The supersymmetric dispersionless systems
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Continuum limit of the N=(1|1) supersymmetric Toda lattice hierarchy
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Recursion operators of the N=2 supersymmetric unconstrained matrix GNLS hierarchies
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Axial Vector Duality in Affine NA Toda Models
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| Session2: Skyrmions, monopoles and higher dimensional integrable theories |
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Integrability in higher dimensions: a model with exact Hopfion solutions
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Dynamics of vortices and knots in Faddeev's model
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Bogomolny Yang-Mills-Higgs solutions in 2+1 anti-de-Sitter space
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BPS Z_k strings, string tension and confinement in non-Abelian theories.
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First-order Bogomolny vortices on a sphere
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On the connections between Skyrme and Yang-Mills theories
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On the existence of minima in the Skyrme model
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Skyrmions in Bose-Einstein condensates
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Solitonic electron states and the modified non-linear Schrodinger equation in 2 and more dimensions
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| Session3: Models with boundaries |
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Boundary sine-Gordon model
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Quantum group symmetry of integrable models on the half-line
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Boundary scattering in the principal chiral model
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| Session4: Duality, strings and solitons |
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D-branes in VSFT and their low energy limit
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Monodromy, Duality and Integrability of two dimensional string effective action
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Ic-instanton exact solution
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Duality and Lorentzian Kac-Moody Algebra
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| Session5: Lattice models, form factors and Bethe ansatz |
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Conductance from Non-perturbative Methods II
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Staggering tranformations and the excitation spectrum of diverse lattice quantum models
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Integrable spin ladder systems
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Conductance from Non-perturbative Methods I
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Exact results for BCS systems
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Renormalization Group for disordered Dirac Fermions
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What is the continuum limit of the integrable Sp(2N) lattice models?
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Universal ratios and correlation functions
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Free fermion branches in some quantum spin models
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| Session6: Non-commutative geometries and integrable models |
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Topics in Nonlinear Sigma Models in D=3
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Soliton equations by the noncommutative zero curvature formulation
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Noncommutative Field Theories and Integrable Models in 2d
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Noncommutative supersymmetric theories
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Extensions of Soliton equations to non-commutative (2 + 1) dimensions
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| Session7: Miscellaneous |
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Time Evolution of confined quantum systems - a non-perturbative approach
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Some remarks on a deformed quantum field theory
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On the Octonionic M-superalgebra
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