The monodromy of T-folds and T-fects

Abstract

We construct a class of codimension-2 solutions in supergravity that realize T-folds with arbitrary $O(2,2,\mathbb{Z})$ monodromy and we develop a geometric point of view in which the monodromy is identified with a product of Dehn twists of an auxiliary surface $\Sigma$ fibered on a base $\mathcal{B}$. These defects, that we call T-fects, are identified by the monodromy of the mapping torus obtained by fibering $\Sigma$ over the boundary of a small disk encircling a degeneration. We determine all possible local geometries by solving the corresponding Cauchy-Riemann equations, that imply the equations of motion for a semi-flat metric ansatz. We discuss the relation with the F-theoretic approach and we consider a generalization to the T-duality group of the heterotic theory with a Wilson line.

60 pages, 12 figures

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Cited by in corpus (14)

• Non-geometric backgrounds in string theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• Unwinding strings in semi-flatland
• Non-abelian U-duality at work
• Ubiquity of non-geometry in heterotic compactifications
• The duality between F-theory and the Heterotic String in $D=8$ with two Wilson lines
• Discrete anomalies in supergravity and consistency of string backgrounds
• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• T-duality transformations for the NS5-brane along angular directions
• A note on T-folds and T3 fibrations
• Meromorphic Flux Compactification
• Eight-dimensional non-geometric heterotic strings and enhanced gauge groups
• On global aspects of duality invariant theories: M2-brane vs DFT