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$O(\tilde d,\tilde d)$ Transformations and 3D Black Hole

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abstract

We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through $O(\tilde d, \tilde d)$ transformations. The results are applied to a rotating black hole solution of three dimensional general relativity discussed recently. We extend the black hole solution to string theory and show its connection with the three dimensional black string with nonzero momentum through an $O(\tilde d, \tilde d)$ transformation of the above type.

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  • Harmonic Superspace for Ali-Ilahi's ADHM Instanton Sigma Model hep-th · 2025-07-28 · conditional · none · ref 42 · internal anchor

    The authors build a dual harmonic superspace and write the off-shell (0,4) superspace actions, interactions, and ADHM instanton gauge field for the complementary ADHM instanton sigma model.