Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-04
JHEP 0706:004,2007
Physics
High Energy Physics
High Energy Physics - Theory
48 pages (27 without appendix), created with LyX, based on LaTeX, including hyperrefs. Typos in (2.162)-(2.167) and in (3.15)
Scientific paper
10.1088/1126-6708/2007/06/004
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.
No associations
LandOfFree
Brackets, Sigma Models and Integrability of Generalized Complex Structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Brackets, Sigma Models and Integrability of Generalized Complex Structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brackets, Sigma Models and Integrability of Generalized Complex Structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727145