Effective actions of non-geometric fivebranes

Abstract

An interesting consequence of string dualities is that they reveal situations where the geometry of a string background appears to be globally ill-defined, a phenomenon usually referred to as non-geometry. On the other hand, string theory contains extended objects with non-trivial monodromy around them, often dubbed defect or exotic branes in co-dimension two. We determine and examine the worldvolume actions and the couplings of certain such branes. In particular, based on specific chains of T and S-dualities, we derive the DBI and WZ actions, which describe the dynamics of type IIB fivebranes as well as their couplings to the appropriate gauge potentials associated to mixed symmetry tensors. Based on these actions we discuss how these branes act as sources of non-geometric fluxes. In one case this flux is what is usually termed Q flux, associated to a T-fold compactification, while in the S-dual case a type of non-geometry related to the Ramond-Ramond sector is encountered.

33 pages, 1 figure. v2: Minor corrections, refs. added; published version

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• World-volume Effective Actions of Exotic Five-branes
• Exotic branes and non-geometric fluxes
• $P$ fluxes and exotic branes
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Tri-vector deformations in $d=11$ supergravity
• Five-brane actions in double field theory
• Weaving the Exotic Web
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• World-volume Effective Action of Exotic Five-brane in M-theory
• Tensor Galileons and Gravity
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Defect (p,q) Five-branes
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Dirac structures on nilmanifolds and coexistence of fluxes
• Exceptional M-brane sigma models and $\eta$-symbols
• Non-geometric fluxes & tadpole conditions for exotic branes
• Gravity theory on Poisson manifold with $R$-flux
• Topological Field Theories induced by twisted R-Poisson structure in any dimension
• The Graded Differential Geometry of Mixed Symmetry Tensors
• Semi-doubled Sigma Models for Five-branes
• Connecting M-theory and type IIB parameterizations in Exceptional Field Theory
• U-dual branes and mixed symmetry tensor fields
• A unified approach to standard and exotic dualizations through graded geometry
• Higher spins from exotic dualisations
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Relation between standard and exotic duals of differential forms
• The different faces of branes in Double Field Theory
• Non-geometric Five-branes in Heterotic Supergravity
• Five-brane Current Algebras in Type II String Theories
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• World-volume Effective Theories of Locally Non-geometric Branes
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Gauge field fluxes and Bianchi identities in extended field theories
• The invariant action for solitonic 5-branes
• Duality rules for more mixed-symmetry potentials
• Non-geometric fluxes and mixed-symmetry potentials
• Exotic Aspects of Extended Field Theories
• T-symmetry in String Geometry Theory