We construct a class of codimension-2 solutions in supergravity that realize T-folds with arbitrary O(2 2 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 Σ fibered on a base ℬ. These defects, that we call T-fects, are identified by the monodromy of the mapping torus obtained by fibering Σ 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.
The monodromy of T-folds and T-fects
Massai S.;
2016
Abstract
We construct a class of codimension-2 solutions in supergravity that realize T-folds with arbitrary O(2 2 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 Σ fibered on a base ℬ. These defects, that we call T-fects, are identified by the monodromy of the mapping torus obtained by fibering Σ 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.
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