Abstract
It was argued in [1] that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges. We show that there exists a method to embed these geometries into asymptotically- $$ {\mathrm{AdS}}_3\times {S}^3/{\mathrm{\mathbb{Z}}}_N $$ solutions, and hence to obtain infinite families of flows whose infrared is NHEK. This indicates that the CFT dual to the NHEK geometry is the IR fixed point of a Renormalization Group flow from a known local UV CFT and opens the door to its explicit construction.
Highlights
In [1], it was shown that one can embed the five-dimensional near-horizon extremal Kerr (NHEK) geometry in a very large family of supergravity solutions, parameterized by several continuous parameters, and that one can obtain multicenter solutions where the geometry near one of the centers is NHEK
It was argued in [1] that the five-dimensional near-horizon extremal Kerr (NHEK) geometry can be embedded in String Theory as the infrared region of an infinite family of non-supersymmetric geometries that have D1, D5, momentum and KK monopole charges
We show that there exists a method to embed these geometries into asymptotically-AdS3 ×S3/ZN solutions, and to obtain infinite families of flows whose infrared is NHEK
Summary
In [1] it was shown that an infinite family of IIB supergravity solutions with a NHEK infrared can be obtained by performing generalized spectral flow transformations [6, 21] on a class of non-supersymmetric, “almost-BPS”, multicenter supergravity solutions [7, 8] whose charges correspond to D1 and D5 branes, momentum and KK monopoles. In [1] only the metric and dilaton have been constructed While this was enough to ascertain the existence of such solutions, in order to perform all regularity checks, calculate their asymptotic charges or use holography to read off the features of the UV CFT, the explicit expressions for the R-R fields are needed. It is the purpose of this section to complete the construction of the supergravity solutions that contain a NHEK infrared by explicitly computing these R-R fields.
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