AKSZ–BV Formalism and Courant Algebroid-Induced Topological Field Theories
By Dmitry Roytenberg. 2006
202 citations recorded by the source corpus.
We give a detailed exposition of the Alexandrov–Kontsevich–Schwarz– Zaboronsky superfield formalism using the language of graded manifolds. As a main illustrating example, to every Courant algebroid structure we associate canonically a three-dimensional topological sigma-model. Using the AKSZ formalism, we construct the Batalin–Vilkovisky master action for the model.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a41b510aa488cbab085fb71cc82e5abba7abdf0f
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In Algebra and Number Theory
- R. Szabo
- P. Schupp
- D. Mylonas
- N. Reshetikhin
- P. Mnev
- Lorenzo Raspollini
- Martin Wolf
- Alberto S. Cattaneo
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Classical BV Theories on Manifolds with Boundary (2011, methodology): “In this setting the action SN will have degree k+1 [46].”
- Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “We review this construction in some detail and specialize it to lowest dimensions (of the source manifold Σ), reproducing topological models corresponding to Poisson manifolds (dimΣ = 2, this is the above mentioned Poisson sigma model), to Courant algebroids (dimΣ = 3, such models were considered in”
- Membrane sigma-models and quantization of non-geometric flux backgrounds (2012, methodology): “which is the action of the Courant sigma-model [48, 41, 72].”
- L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism (2018, background): “For more details and examples, see also [88,89] and in particular [90] for a modern perspective.”