The OD, D geometry of string theory

2013/03/31 by David S. Berman, Chris D. A. Blair, Emanuel Malek +1
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Bosonic string theory #Connection (principal bundle) #Cosmology and Gravitation Theories #Covariant derivative #Covariant transformation #Non-critical string theory #Noncommutative and Quantum Gravity Theories #String field theory #String theory #Torsion (gastropod) #hep-th

paper · pdf · doi:10.1142/s0217751x14500808

26 pages, latex, v2 typos corrected and references added

arxiv created 2013/04/01 · openalex publication_date 2014/05/22 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct an action for double field theory using a metric connection that is compatible with both the generalised metric and the O D, D structure. The connection is simultaneously torsionful and flat. Using this connection, one may construct a proper covariant derivative for double field theory. We then write the doubled action in terms of the generalised torsion of this connection. This action then exactly reproduces that required for double field theory and gauged supergravity.

Citations

• Differential geometry with a projection: application to double field theory
• Stringy differential geometry, beyond Riemann
• On the Riemann tensor in double field theory
• Background field equations for the duality symmetric string
• The gauge algebra of double field theory and Courant brackets
• Superspace duality in low-energy superstrings
• LocalE11
• Generalized Calabi-Yau Manifolds