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We generate a class of string backgrounds by a sequence of TsTtransformations of the NS1-NS5 system that we argue are holographically dual tostates in a single-trace $T\bar T + J\bar T + T\bar J$-deformed CFT$_2$. Thenew string backgrounds include general rotating black hole solutions with two$U(1)$ charges as well as a smooth solution without a horizon that isinterpreted as the ground state. As evidence for the correspondence we (i)derive the long string spectrum and relate it to the spectrum of the dual fieldtheory; (ii) show that the black hole thermodynamics can be reproduced fromsingle-trace $T\bar T + J\bar T + T\bar J$-deformed CFTs; and (iii) show thatthe energy of the ground state matches the energy of the vacuum in the dualtheory. We also study geometric properties of these new spacetimes and findthat for some choices of the parameters the three-dimensional Ricci scalar inthe Einstein frame can become positive in a region outside the horizon beforereaching closed timelike curves and singularities.

TsT, black holes, and $T\bar T + J\bar T + T\bar J$