Abstract
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.
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Roytenberg, D. AKSZ–BV Formalism and Courant Algebroid-Induced Topological Field Theories. Lett Math Phys 79, 143–159 (2007). https://doi.org/10.1007/s11005-006-0134-y
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DOI: https://doi.org/10.1007/s11005-006-0134-y