Generalized sigma model with dynamical antisymplectic potential and non-Abelian de Rham's differential

Abstract

For topological sigma models, we propose that their local Lagragian density is allowed to depend non-linearly on the de Rham's "velocities" $D{Z}^A$. Then, by differentiating the Lagrangian density with respect to the latter de Rham's "velocities", we define a "dynamical" anti-symplectic potential, in terms of which a "dynamical" anti-symplectic metric is defined, as well. We define the local and the functional antibracket via the dynamical anti-symplectic metric. Finally, we show that the generalized action of the sigma model satisfies the functional master equation, as required.

9 pages, v2: formula (2.5) corrected, v3: formula (4.13) added, published version

References in corpus (2)

• Frame-like Lagrangians and presymplectic AKSZ-type sigma models
• Extended sigma-model in nontrivially deformed field-antifield formalism