AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Abstract

We describe the gravity duals of four-dimensional N=1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS5 factor, generically preserves two U(1)s, with generators (J+,J-), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampere equation. The spectrum of N=1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p,q) label associated to the circle dual to the killing vector (p J+ + q J-) which shrinks near the source. In the generic case the world volume of the D6-branes is AdS5 X S^2 and they locally preserve N=2 supersymmetry. When p=-q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources, M9-branes, obtained by smearing M5-branes that wrap the AdS5 factor and the circle dual the superconformal R-symmetry. In the IIA limit, they can interpreted as D8-branes. The D6-branes are extended along the AdS5 and on cups that end on the co-dimension one branes. In the special case when the shrinking circle is dual to the R-symmetry, the D6-branes are extended along the AdS5 and wrap an auxiliary Riemann surface with an arbitrary genus. When the Riemann surface is compact with constant curvature, the system is governed by a Monge-Ampere equation.

35 pages

References in corpus (6)

• Four-Dimensional SCFTs from M5-Branes
• The gravity duals of N=2 superconformal field theories
• Sasaki-Einstein Metrics on S^2 x S^3
• Quiver Tails and N=1 SCFTs from M5-branes
• Brane webs and 1/4-BPS geometries
• Four dimensional superconformal theories from M5 branes

Cited by in corpus (25)

• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• 1/4 BPS AdS${}_3$/CFT${}_2$
• A review of the T_N theory and its cousins
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• A slow review of the AGT correspondence
• AdS5 compactifications with punctures in massive IIA supergravity
• Holographic duals of five-dimensional SCFTs on a Riemann surface
• M5-branes Probing Flux Backgrounds
• Class $\mathcal{S}$ Anomalies from M-theory Inflow
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Aspects of Irregular Punctures via Holography
• Wrapped Branes and Punctured Horizons
• Non-integrability in AdS${}_3$ vacua
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Infinitely many N=1 dualities from $m+1-m=1$
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Gravity duals of N=(0,2) SCFTs from M5-branes
• The Geometry of Decoupling Fields
• 4d $\mathcal{N}=1$/2d Yang-Mills Duality in Holography
• Wrapped M5-branes and AdS${}_5$ Black Holes