Type IIB 7-branes in warped $Ad{S}_6$: partition functions, brane webs and probe limit

Abstract

We study Type IIB supergravity solutions with spacetime of the form $Ad{S}_6\times S^2$ warped over a Riemann surface $\Sigma$, where $\Sigma$ includes punctures around which the supergravity fields have non-trivial $SL(2,R)$ monodromy. Solutions without monodromy have a compelling interpretation as near-horizon limits of $(p,q)$ 5-brane webs, and the punctures have been interpreted as additional 7-branes in the web. In this work we provide further support for this interpretation and clarify several aspects of the identification of the supergravity solutions with brane webs. To further support the identification of the punctures with 7-branes, we show that punctures with infinitesimal monodromy match a probe 7-brane analysis using $\kappa$-symmetry. We then construct families of solutions with fixed 5-brane charges and punctures with finite monodromy, corresponding to fully backreacted 7-branes. We compute the sphere partition functions of the dual 5d SCFTs and use the results to discuss concrete brane web interpretations of the supergravity solutions.

41 pages, 7 figures

References in corpus (6)

• Towards a derivation of holographic entanglement entropy
• Webs of five-branes and N=2 superconformal field theories
• AdS_6 solutions of type II supergravity
• Lifting 4d dualities to 5d
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Entanglement entropy vs. free energy in IIB supergravity duals for 5d SCFTs

Cited by in corpus (27)

• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Exact results for 5d SCFTs of long quiver type
• 1/4 BPS AdS${}_3$/CFT${}_2$
• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• Testing $Ad{S}_6/CF{T}_5$ in Type IIB with stringy operators
• Gauged Six-Dimensional Supergravity from Warped IIB Reductions
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Wilson loops in 5d long quiver gauge theories
• Black hole microstate counting in Type IIB from 5d SCFTs
• Holographic description of SCFT${}_5$ compactifications
• Mapping out the internal space in AdS/BCFT with Wilson loops
• AdS${}_6$/CFT${}_5$ with O7-planes
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Non-integrability in AdS${}_3$ vacua
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• M-theory curves from warped AdS${}_6$ in Type IIB
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• On non-supersymmetric fixed points in five dimensions
• Supersymmetric probes in warped $Ad{S}_6$
• Relating AdS${}_6$ solutions in type IIB supergravity
• Non-supersymmetric AdS${}_6$ and the swampland
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview