Non-geometric Five-branes in Heterotic Supergravity

Abstract

We study T-duality chains of five-branes in heterotic supergravity where the first order ${\alpha }^{\prime }$-corrections are present. By performing the ${\alpha }^{\prime }$-corrected T-duality transformations of the heterotic NS5-brane solutions, we obtain the KK5-brane and the exotic $5_2^2$-brane solutions associated with the symmetric, the neutral and the gauge NS5-branes. We find that the Yang-Mills gauge field in these solutions satisfies the self-duality condition in the three- and two-dimensional transverse spaces to the brane world-volumes. The $O(2,2)$ monodromy structures of the $5_2^2$-brane solutions are investigated by the ${\alpha }^{\prime }$-corrected generalized metric. Our analysis shows that the symmetric $5_2^2$-brane solution, which satisfies the standard embedding condition, is a T-fold and it exhibits the non-geometric nature. We also find that the neutral $5_2^2$-brane solution is a T-fold at least at $\mathcal{O}({\alpha }^{\prime })$. On the other hand, the gauge $5_2^2$-brane solution is not a T-fold but show unusual structures of space-time.

26 pages, 1 figure, minor text improvements

References in corpus (21)

• Duality and Dilaton
• Double Field Theory Formulation of Heterotic Strings
• T-duality and ${\alpha }^{\prime }$-corrections
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic $\alpha$'-corrections in Double Field Theory
• Heterotic Effective Action and Duality Symmetries Revisited
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Non-geometric branes are DFT monopoles
• T-duality Constraints on Higher Derivatives Revisited
• Rotating string in doubled geometry with generalized isometries
• Quadratic ${\alpha }^{\prime }$-Corrections to Heterotic Double Field Theory
• Double Metric, Generalized Metric and ${\alpha }^{\prime }$-Geometry
• Defect branes as Alice strings
• World-volume Effective Action of Exotic Five-brane in M-theory
• Defect (p,q) Five-branes
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Semi-doubled Sigma Models for Five-branes
• Codimension-2 Solutions in Five-Dimensional Supergravity
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds
• Exotic Brane Junctions from F-theory

Cited by in corpus (5)

• Non-geometric backgrounds in string theory
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry