199 research outputs found
Nambu-Poisson dynamics with some applications
Short introduction in NPD with several applications to (in)finite dimensional
problems of mechanics, hydrodynamics, M-theory and quanputing is given.Comment: 11 page
Brackets, Sigma Models and Integrability of Generalized Complex Structures
It is shown how derived brackets naturally arise in sigma-models via Poisson-
or antibracket, generalizing a recent observation by Alekseev and Strobl. On
the way to a precise formulation of this relation, an explicit coordinate
expression for the derived bracket is obtained. The generalized Nijenhuis
tensor of generalized complex geometry is shown to coincide up to a de-Rham
closed term with the derived bracket of the structure with itself, and a new
coordinate expression for this tensor is presented. The insight is applied to
two known two-dimensional sigma models in a background with generalized complex
structure. Introductions to geometric brackets on the one hand and to
generalized complex geometry on the other hand are given in the appendix.Comment: 48 pages (27 without appendix), created with LyX, based on LaTeX,
including hyperrefs. Typos in (2.162)-(2.167) and in (3.15) fixed. Content
agrees with JHEP-Version. Page numbers and equation numbers agree with old
version but not with JHEP version
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