Abstract
A geometry of superspace corresponding to double field theory is developed, with type II supergravity in D = 10 as the main example. The formalism is based on an orthosymplectic extension OSp(d, d|2s) of the continuous T-duality group. Covariance under generalised super-diffeomorphisms is manifest. Ordinary superspace is obtained as a solution of the orthosymplectic section condition. A systematic study of curved superspace Bianchi identities is performed, and a relation to a double pure spinor superfield cohomology is established. A Ramond-Ramond superfield is constructed as an infinite-dimensional orthosymplectic spinor. Such objects in minimal orbits under the OSp supergroup (“pure spinors”) define super-sections.
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Cederwall, M. Double supergeometry. J. High Energ. Phys. 2016, 155 (2016). https://doi.org/10.1007/JHEP06(2016)155
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DOI: https://doi.org/10.1007/JHEP06(2016)155