Surface defects in the D4 $-$ D8 brane system

Abstract

A new class of exact supersymmetric solutions is derived within minimal $d=6$ $F(4)$ gauged supergravity. These flows are all characterized by a non-trivial radial profile for the 2-form gauge potential included into the supergravity multiplet. In particular three solutions within this class are featured by an ${\mathrm{AdS}}_3$ foliation of the 6d background and by an ${\mathrm{AdS}}_6$ asymptotic geometry. Secondly, considering the simplest example of these, we give its massive IIA uplift describing a warped solution of the type ${\mathrm{AdS}}_3\times S^2\times S^3$ fibered over two intervals $I_r\times I_{\xi }$ . We interpret this background as the near-horizon of a D4 $-$ D8 system on which a bound state D2 $-$ NS5 $-$ D6 ends producing a surface defect. Finally we discuss its holographic dual interpretation in terms of a $\mathcal{N}=(0,4)$ SCFT${}_2$ defect theory within the $\mathcal{N}=2$ SCFT${}_5$ dual to the ${\mathrm{AdS}}_6\times S^4$ massive IIA warped vacuum.

30 pages + 3 appendices, 6 tables

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Cited by in corpus (28)

• Exact results for 5d SCFTs of long quiver type
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• Supersymmetric $Ad{S}_6$ black holes from matter coupled $F(4)$ gauged supergravity
• Type II Solutions on AdS${}_3\times S^3\times S^3$ with Large Superconformal Symmetry
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• AdS${}_{\text{2}}$ solutions and their massive IIA origin
• Searching for surface defect CFTs within AdS${}_3$
• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• Non-integrability on AdS${}_3$ supergravity backgrounds
• Surface defects in holographic 5d SCFTs
• N=(0,4) Black String Chains
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• 6D (1,1) Gauged Supergravities from Orientifold Compactifications
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS${}_2$ near-horizons, defects and string dualities
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Supersymmetric probes in warped $Ad{S}_6$
• Supersymmetric solutions of 7D maximal gauged supergravity
• Supersymmetric domain walls in maximal 6D gauged supergravity I
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• New IIB intersecting brane solutions yielding supersymmetric AdS${}_3$ vacua
• Supersymmetric domain walls in maximal 6D gauged supergravity II
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries