Abstract
We construct a class of codimension-2 solutions in supergravity that realize T-folds with arbitrary \( O\left(2,2,\mathbb{Z}\right) \) 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 \( \mathrm{\mathcal{B}} \). 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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Lüst, D., Massai, S. & Camell, V.V. The monodromy of T-folds and T-fects. J. High Energ. Phys. 2016, 127 (2016). https://doi.org/10.1007/JHEP09(2016)127
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DOI: https://doi.org/10.1007/JHEP09(2016)127