منابع مشابه
Lectures on W - Gravity , W - Geometry and W - Strings ⋆
Classical W-gravities and the corresponding quantum theories are reviewed. W-gravities are higher-spin gauge theories in two dimensions whose gauge algebras are W-algebras. The geometrical structure of classical W-gravity is investigated, leading to surprising connections with self-dual and special geometry. The anomalies that arise in quantum W-gravity are discussed, with particular attention ...
متن کاملW Geometry from Fedosov's Deformation Quantization
A geometric derivation of W ∞ Gravity based on Fedosov's deformation quantization of symplectic manifolds is presented. To lowest order in Planck's constant it agrees with Hull's geometric formulation of classical nonchiral W ∞ Gravity. The fundamental object is a W-valued connection one form belonging to the exterior algebra of the Weyl algebra bundle associated with the symplectic manifold. T...
متن کاملDiscrete asymptotic nets and W-congruences in Plücker line geometry
The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plücker quadric. On the basis of the Lelieuvre-type representation of asymptotic lattices and of the discrete analog of the Moutard transformation, it is constructed the discrete analog of the W–congruences...
متن کاملAsymptotic Lattices and W-Congruences in Integrable Discrete Geometry
The asymptotic lattices and their transformations are included into the theory of quadrilateral lattices.
متن کاملCHERN - SIMONS p - BRANES , HADRONIC BAGS AND W GEOMETRY
Conformally invariant sigma models in D = 2n dimensions with target non-compact O(2n, 1) groups are studied. It is shown that despite the non-compact nature of the O(2n, 1) groups, the classical action and Hamiltonian are positive definite. Instanton field configurations are found to correspond geometrically to conformal " stereographic " mappings of R 2n into the Euclidean signature AdS 2n spa...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1993
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02098483