Abstract
In this note we construct a solution of six-dimensional $F(4)$ gauged supergravity using $AdS_2\times S^3$ warped over an interval as an ansatz. The solution is completely regular, preserves eight of the sixteen supersymmetries of the $AdS_6$ vacuum and is a holographic realization of a line defect in a dual five-dimensional theory. We calculate the expectation value of the defect and the one-point function of the stress tensor in the presence of the defect using holographic renormalization.
Highlights
The study of five-dimensional superconformal theories (SCFTs) has been a very active field of research in recent years
Holography is an important tool in studying CFTs, and AdS6 solutions dual to five-dimensional SCFTs have been found in massive IIA [6,7,8] and T-duals in type IIB [9,10,11]
A large class of type IIB solutions were constructed in [12,13,14,15]1 which are dual to d 1⁄4 5 SCFTs related in the IR to long quiver theories derived from ðp; qÞ five-brane webs [5]
Summary
The study of five-dimensional superconformal theories (SCFTs) has been a very active field of research in recent years. Five-dimensional SCFTs have a unique superconformal algebra Fð4Þ [18,19], and its subalgebras were classified in [20,21] This analysis shows that superconformal defects should exist, such as the half-BPS Janus solution found in [22]. The fact that the ten-dimensional IIA and IIB undeformed AdS6 vacuum solutions are already warped products makes the construction of holographic defect solutions in ten dimensions quite challenging. Recent results [26,27,28] show that any solution of this sixdimensional theory can be uplifted and embedded in the general IIB solutions of [12,13,14] This implies that the solutions in this paper extend to ten-dimensional holographic defect solutions. In the Appendixes we present our conventions and details of the calculation of the counterterms using the method of holographic renormalization
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