Born sigma model for branes in exceptional geometry
Yuho Sakatani, Shozo Uehara
Abstract
Abstract In double field theory, the physical space has been understood as a subspace of the doubled space. Recently, the doubled space has been defined as the para-Hermitian manifold and the physical space is realized as a leaf of a foliation of the doubled space. This construction naturally introduces the fundamental 2-form, which plays an important role in a reformulation of string theory known as the Born sigma model. In this paper, we present the Born sigma model for $p$-branes in M-theory and type IIB theory by extending the fundamental 2-form into $U$-duality-covariant $(p+1)$-forms.
Topics & Concepts
PhysicsSigmaSubspace topologySpace (punctuation)String theoryManifold (fluid mechanics)String (physics)Sigma modelBrane cosmologyField (mathematics)Theoretical physicsField theory (psychology)Mathematical physicsString field theoryGeometryCovering spaceType (biology)Foliation (geology)SpacetimeNon-critical string theoryClassical mechanicsLoop spaceDimension (graph theory)Extra dimensionsSpace timeRelationship between string theory and quantum field theoryBlack Holes and Theoretical PhysicsHomotopy and Cohomology in Algebraic TopologyAlgebraic Geometry and Number Theory