Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4

Abstract

General local half-BPS solutions in M-theory, which have $SO(2,2)\times SO(4)\times SO(4)$ symmetry and are asymptotic to $Ad{S}_7\times S^4$, were constructed in exact form by the authors in [arXiv:0806.0605]. In the present paper, suitable regularity conditions are imposed on these local solutions, and corresponding globally well-defined solutions are explicitly constructed. The physical properties of these solutions are analyzed, and interpreted in terms of the gravity duals to extended 1+1-dimensional half-BPS defects in the 6-dimensional CFT with maximal supersymmetry.

arXiv comment24 pages, LaTeX, 6 figures, typos corrected, reference added

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Cited by in corpus (41)

• Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Superconformal surfaces in four dimensions
• Half-BPS supergravity solutions and superalgebras
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Janus solutions in six-dimensional gauged supergravity
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Holographic duals of Boundary CFTs
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• Broken global symmetries and defect conformal manifolds
• Boundary entropy of supersymmetric Janus solutions
• Holographic RG-flows and Boundary CFTs
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Searching for surface defect CFTs within AdS${}_3$
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Open Worldsheets for Holographic Interfaces
• $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M Theory
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• AdS${}_3$ from M-branes at conical singularities
• Supersymmetric Janus solutions of dyonic $ISO(7)$-gauged $\mathcal{N}=8$ supergravity
• String Junctions and Holographic Interfaces
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• N=1 Non-Abelian Tensor Multiplet in Four Dimensions
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Local gravitational solutions dual to M2-branes intersecting and/or ending on M5-branes
• Observations on BPS observables in 6d
• Relating Conifold Geometries to NS5-branes
• AdS${}_3\times$ S${}^2$ in IIB with small $\mathcal{N}=(4,0)$ supersymmetry
• Holographic entanglement entropy of surface defects
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• BPS surface operators and calibrations
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• Janus ABJM Models with Mass Deformation
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs
• Near Horizon Geometry of Strings Ending on Intersecting D8/D4-branes