Abstract
Spectral flow in two-dimensional superconformal field theories is known to correspond to a geometrical mixing between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1)×SO(k+1) isometries with k > 1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in \(\mathcal{N}\) = 4 super-Yang-Mills theory.
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This work was supported in part by the DOE grant DE-SC0015535.
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Lunin, O., Shah, P. Geometries with twisted spheres and non-abelian T-dualities. J. High Energ. Phys. 2024, 102 (2024). https://doi.org/10.1007/JHEP03(2024)102
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DOI: https://doi.org/10.1007/JHEP03(2024)102