TsT, black holes, and TT¯+JT¯+TJ¯

Luis Apolo Institute for Theoretical Physics, University of Amsterdam, 1090GL Amsterdam, The Netherland; Beijing Institute of Mathematical Sciences and Applications, Beijing 101408, China Wei Song Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2204.74002

We generate a class of string backgrounds by a sequence of TsT transformations of the NS1-NS5 system that we argue are holographically dual to states in a single-trace TT¯+JT¯+TJ¯-deformed CFT2. The new string backgrounds include general rotating black hole solutions with two U(1) charges as well as a smooth solution without a horizon that is interpreted 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 field theory; (ii) show that the black hole thermodynamics can be reproduced from single-trace TT¯+JT¯+TJ¯-deformed CFTs; and (iii) show that the energy of the ground state matches the energy of the vacuum in the dual theory. We also study geometric properties of these new spacetimes and find that for some choices of the parameters the three-dimensional Ricci scalar in the Einstein frame can become positive in a region outside the horizon before reaching closed timelike curves and singularities.
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  title={TsT, black holes, and TT¯+JT¯+TJ¯},
  author={Luis Apolo, and Wei Song},
Luis Apolo, and Wei Song. TsT, black holes, and TT¯+JT¯+TJ¯. 2021. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220429150619474211163.
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