Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.
Gualtieri, Branes on Poisson varieties, [arXiv:0710.2719 [math.DG]]
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abstract
We first extend the notion of connection in the context of Courant algebroids to obtain a new characterization of generalized Kaehler geometry. We then establish a new notion of isomorphism between holomorphic Poisson manifolds, which is non-holomorphic in nature. Finally we show an equivalence between certain configurations of branes on Poisson varieties and generalized Kaehler structures, and use this to construct explicitly new families of generalized Kaehler structures on compact holomorphic Poisson manifolds equipped with positive Poisson line bundles (e.g. Fano manifolds). We end with some speculations concerning the connection to non-commutative algebraic geometry.
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The paper summarizes BV formalism using Q- and QP-manifolds and constructs BV action functionals from the geometry of Lie algebroids and Courant algebroids.
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Gauged Courant sigma models
Gauged Courant sigma models extend Courant sigma models by adding gauge symmetries from Lie algebroids and Courant algebroids, with consistency ensured by flatness conditions on target-space curvatures and torsions.
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Q-Manifolds and Sigma Models
The paper summarizes BV formalism using Q- and QP-manifolds and constructs BV action functionals from the geometry of Lie algebroids and Courant algebroids.