\(\mathrm{AdS}_{3}\) holography for 1/4 and 1/8 BPS geometries. (English) Zbl 1388.83659
Summary: Recently a new class of 1/8-BPS regular geometries in type IIB string theory was constructed in [I. Bena et al., J. High Energy Phys. 2015, No. 5, Paper No. 110, 55 p. (2015; Zbl 1388.83739)]. In this paper we provide a precise description of the semiclassical states dual, in the AdS/CFT sense, to these geometries. In explicit examples we show that the holographic 1-point functions and the Ryu-Takayanagi’s Entanglement Entropy for a single small interval match the corresponding CFT calculations performed by using the proposed dual states. We also discuss several new examples of such precision holography analysis in the 1/4-BPS sector and provide an explicit proof that the small interval derivation of the Entanglement Entropy used in [the first and the third author, “Entanglement entropy and D1–D5 geometries”, Phys. Rev. D 90, No. 6, Article ID 066004, 12 p. (2014; doi:10.1103/PhysRevD.90.066004)] is fully covariant.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 83C57 | Black holes |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
Citations:
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