Supersymmetric AdS3 X S2 M-theory geometries with fluxes

Abstract

Motivated by a recent observation that the LLM geometries admit 1/4-BPS M5-brane probes with worldvolume AdS3 X Σ_2 X S1 preserving the R-symmetry, we initiate a classification of the most general AdS3 X S2 geometries in M-theory. We retain all field strengths consistent with symmetry and derive the torsion conditions for M_6 in terms of two linearly independent spinors. Surprisingly, we identify three Killing directions for M_6, but only two of these generate isometries of the overall ansatz. We show that the existence of this third direction depends on the norm of the spinors. Then, specialising to the case where the spinors define an SU(2)-structure and the class of solutions is 1/4-BPS, we note that supersymmetry dictates that all magnetic fluxes necessarily thread the S2. Finally, by assuming that the two remaining Killing directions are parallel and aligned with one of the two vectors defining the SU(2)-structure, we derive a general relationship for the two spinors before extracting a known class of solutions from the torsion conditions.

arXiv comment32 pages, minor corrections

References in corpus (44)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Supergravity description of field theories on curved manifolds and a no go theorem
• Bubbling AdS space and 1/2 BPS geometries
• Black Hole Entropy in M-Theory
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Superstrings with Intrinsic Torsion
• The Geometry of D=11 Killing Spinors
• G-Structures and Wrapped NS5-Branes
• Supersymmetric AdS_5 solutions of M-theory
• S-duality in N=2 supersymmetric gauge theories
• A Construction of Killing Spinors on S^n
• Gauge Theory Loop Operators and Liouville Theory
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• On gravitational description of Wilson lines
• G-Structures, Fluxes and Calibrations in M-Theory
• Surface Operators in N=2 4d Gauge Theories
• The gravity duals of N=2 superconformal field theories
• Gravity duals of half-BPS Wilson loops
• AdS(3) Solutions of IIB Supergravity from D3-branes
• The Geometry of D=11 Null Killing Spinors
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• 1/2-BPS states in M theory and defects in the dual CFTs
• Exact Half-BPS Flux Solutions in M-theory I, Local Solutions
• Bubbling Geometries for Half BPS Wilson lines
• Loop operators and S-duality from curves on Riemann surfaces
• AdS spacetimes from wrapped M5 branes
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• Bubbling Surface Operators And S-Duality
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• A description of 1/4 BPS configurations in minimal type IIB SUGRA
• 1/8 BPS States in Ads/CFT
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS spacetimes from wrapped D3-branes
• From Liouville to Chern-Simons, Alternative Realization of Wilson Loop Operators in AGT Duality
• Null structure groups in eleven dimensions
• Eight-manifolds with G-structure in eleven dimensional supergravity
• N = 2 SCFTs: An M5-brane perspective

Cited by in corpus (21)

• AdS${}_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry
• F-theory and AdS_3/CFT_2
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• 1/4 BPS AdS${}_3$/CFT${}_2$
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• A slow review of the AGT correspondence
• Large superconformal near-horizons from M-theory
• 3D gauged supergravity from wrapped M5-branes with AdS/CMT applications
• All $\mathcal{N}=(8,0)$ AdS${}_3$ solutions in 10 and 11 dimensions
• AdS${}_3$ solutions with $\mathcal{N}=(3,0)$ from S${}^3\times$S${}^3$ fibrations
• A search for AdS5 X S2 IIB supergravity solutions dual to N = 2 SCFTs
• N=(0,4) Black String Chains
• $\mathcal{N}=(8,0)$ AdS vacua of three-dimensional supergravity
• On the generality of the LLM geometries in M-theory
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• The Backreacted Kähler Geometry of Wrapped Branes
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• On generalised D1-D5 near horizons and their spectra
• $N=(2,0)$ AdS${}_3$ Solutions of M-theory
• Beyond LLM in M-theory