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SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2

Stéphane Detournay Joshua M. Lapan Mauricio Andrés Romo Jorquera

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74010

2011.11
We discuss a marginal deformation of the SL(2,R) x SU(2) x U(1)^4 WZW model, which describes string theory on AdS_3 x S^3 x T^4, that corresponds to warping the S^3 factor. This deformation breaks part of the N=(4,4) supersymmetry of the undeformed dual CFT to N=(0,4) supersymmetry. In the spirit of work by Giveon, Kutasov, and Seiberg, we construct the asymptotic spacetime symmetry algebra from worldsheet operators and find a restoration of (4,4) supersymmetry at discrete values of the deformation parameter. We explain this result from various perspectives: the worldsheet, supergravity, and from the singular D1-D5 CFT. The supergravity analysis includes an asymptotic symmetry computation of the level of the affine SU(2) R-symmetry, which arises purely from B-field contributions.
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@inproceedings{stéphane2011susy,
  title={SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2},
  author={Stéphane Detournay, Joshua M. Lapan, and Mauricio Andrés Romo Jorquera},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607140837791864333},
  year={2011},
}
Stéphane Detournay, Joshua M. Lapan, and Mauricio Andrés Romo Jorquera. SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2. 2011. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220607140837791864333.
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