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- Title
Holographic CFTs on AdS<sub>d</sub>× S<sup>n</sup> and conformal defects.
- Authors
Ghodsi, Ahmad; Kiritsis, Elias; Nitti, Francesco
- Abstract
We consider (d+n+1)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of (d + n)-dimensional holographic CFTs on AdSd × Sn. Their only dimensionless parameter is the ratio of radii of curvatures of AdSd and Sn. The same solutions may also be dual to (d − 1)-dimensional conformal defects in holographic QFTd+n. We solve the gravity equations with an associated conifold ansatz, and we classify all solutions both singular and regular by a combination of analytical and numerical techniques. There are no solutions, regular or singular, with two boundaries along the holographic direction. Out of the infinite class of regular solutions, only one is diffeomorphic to AdSd+n+1 and another to AdSd × AdSn+1. For the regular solutions, we compute the on-shell action as a function of the relevant parameters.
- Subjects
EINSTEIN, Albert, 1879-1955; CURVATURE; GRAVITY; EINSTEIN field equations; EINSTEIN manifolds; EQUATIONS
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 10, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP10(2023)188