BV formalism of T-duality geometry

A BV formalism is not only a fundamental framework of quantum field theory, but also appears in a variety of fields of mathematics and physics as an universal structure. After we prepare BV-geometry and notion of so called NS fluxes and T-duality, we reformulate geometry of T-duality by the BV-AKSZ formalism based on supergeometry. Moreover we explain that extended T-duality recently proposed in physics is also formulated and unified by this formalism.