Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity

Abstract

We describe three analytic classes of infinitely many AdS_d supersymmetric solutions of massive IIA supergravity, for d = 7, 5, 4. The three classes are related by simple universal maps. For example, the AdS_7 x M_3 solutions (where M_3 is topologically S^3) are mapped to AdS_5 x Sigma_2 x M'_3, where Sigma_2 is a Riemann surface of genus g >= 2 and the metric on M'_3 is obtained by distorting M_3 in a certain way. The solutions can have localized D6 or O6 sources, as well as an arbitrary number of D8-branes. The AdS_7 case (previously known only numerically) is conjecturally dual to an NS5-D6-D8 system. The field theories in three and four dimensions are not known, but their number of degrees of freedom can be computed in the supergravity approximation. The AdS_4 solutions have numerical "attractor" generalizations that might be useful for flux compactification purposes.

5 pages, 2 figures; v2: new title, new introductory and concluding paragraphs, references added; v3: minor corrections

References in corpus (2)

• Holography for (1,0) theories in six dimensions
• AdS spacetimes from wrapped M5 branes

Cited by in corpus (62)

• On the Defect Group of a 6D SCFT
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• Top Down Approach to 6D SCFTs
• 6d holographic anomaly match as a continuum limit
• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
• Universal RG Flows Across Dimensions and Holography
• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• 6D RG Flows and Nilpotent Hierarchies
• Universal Features of BPS Strings in Six-dimensional SCFTs
• 1/4 BPS AdS${}_3$/CFT${}_2$
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• AdS${}_3$ solutions with exceptional supersymmetry
• On Exceptional Instanton Strings
• Supersymmetric AdS_7 backgrounds in half-maximal supergravity and marginal operators of (1,0) SCFTs
• Massive Anti-de Sitter Gravity from String Theory
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Holographic Duals of Argyres-Douglas Theories
• AdS${}_7$/CFT${}_6$ with orientifolds
• T-branes, Anomalies and Moduli Spaces in 6D SCFTs
• 4D Gauge Theories with Conformal Matter
• On AdS${}_7$ stability
• Electrostatic Description of Five-dimensional SCFTs
• Small instanton transitions for M5 fractions
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Wilson loops in 5d long quiver gauge theories
• AdS5 compactifications with punctures in massive IIA supergravity
• From 6D SCFTs to Dynamic GLSMs
• Classification, geometry and applications of supersymmetric backgrounds
• Non-integrability on AdS${}_3$ supergravity backgrounds
• Spin-2 spectrum of six-dimensional field theories
• Holography, Brane Intersections and Six-dimensional SCFTs
• Minimal flux Minkowski classification
• Charges and holography in 6d (1,0) theories
• Spectrum universality properties of holographic Chern-Simons theories
• A new 6d fixed point from holography
• Aspects of Irregular Punctures via Holography
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Holographic duals of 6d RG flows
• AdS${}_8$ Solutions in Type II Supergravity
• ${\text{AdS}}_2\times S^7$ solutions from D0 $-$ F1 $-$ D8 intersections
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Non-integrability in AdS${}_3$ vacua
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Flavor symmetries of six-dimensional $\mathcal{N}=(1,0)$ theories from AdS/CFT correspondence
• AdS5 Backgrounds with 24 Supersymmetries
• Wilson loops for 5d and 3d conformal linear quivers
• Non-Lorentzian Avatars of (1,0) Theories
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Complexity and Operator Growth in Holographic 6d SCFTs
• Punctures and Dynamical Systems
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$
• Cheeger bounds on spin-two fields
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries