2016/03/17 by Martin Cederwall
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Cohomology #D-term #F-term #Formalism (music) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Spinor #Supergravity #Supergroup #Supermultiplet #Superspace #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep06(2016)155
28 pp., plain tex. v2: refs. added
arxiv created 2016/03/17 · openalex publication_date 2016/06/01 · arxiv updated 2016/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.