Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity

TL;DR

This paper explores holographic RG flows and conformal defects in lower dimensions derived from five-dimensional N=2 SCFTs using specific gauged supergravity models, revealing new solutions with potential string theory uplifts.

Contribution

It constructs new supergravity solutions describing RG flows, conformal fixed points, and defects, extending understanding of holography in lower-dimensional theories.

Findings

Identified $AdS_4\times H^2$ and $AdS_3\times H^3$ solutions with preserved supersymmetry.

Constructed flow solutions interpreted as black membranes and strings in $AdS_6$.

Built charged domain wall solutions representing conformal line and surface defects.

Abstract

We study holographic solutions describing RG flows across dimensions from five-dimensional $N=2$ SCFT to SCFTs in three and two dimensions using matter-coupled $F(4)$ gauged supergravity with $ISO(3)\times U(1)$ gauge group. By performing topological twists implemented by $SO(2)$, $SO(2)\times SO(2)$ and $SO(3)$ gauge fields, we find a number of $AdS_4\times H^2$ and $AdS_3\times H^3$ solutions preserving eight and four supercharges. These geometries are identified with conformal fixed points in three and two dimensions, respectively. The corresponding flow solutions are obtained numerically and can be interpreted as black membranes and black strings in asymptotically $AdS_6$ space. In addition, we have constructed charged domain wall solutions with $AdS_2\times S^3$ and $AdS_3\times S^2$ slicing. These solutions are supported by a non-vanishing two-form field and describe conformal line and surface defects within the $N=2$ SCFT in five dimensions, respectively. All of these solutions can be uplifted to type IIB theory via consistent truncations on $S^2\times \Sigma$ with $\Sigma$ being a Riemann surface.