1/2-BPS states in M theory and defects in the dual CFTs

Abstract

We study supersymmetric branes in AdS_7 x S^4 and AdS_4 x S^7. We show that in the former case the membranes should be viewed as M5 branes with fluxes and we identify two types of such fivebranes (they are analogous to giant gravitons and to dual giants). In AdS_4 x S^7 we find both M5 branes with fluxes and freestanding stacks of membranes. We also go beyond probe approximation and construct regular supergravity solutions describing geometries produced by the branes. The metrics are completely specified by one function which satisfies either Laplace or Toda equation and we give a complete classification of boundary conditions leading to smooth geometries. The brane configurations discussed in this paper are dual to various defects in three- and six-dimensional conformal field theories.

82 pages, 12 figures, added refs

References in corpus (12)

• Giant Magnons
• Holographic Wilson Loops
• Gravity solutions for the D1-D5 system with angular momentum
• Wilson Loops of Anti-symmetric Representation and D5-branes
• On gravitational description of Wilson lines
• Mergers and Typical Black Hole Microstates
• AdS spacetimes from wrapped M5 branes
• Bubbling Defect CFT's
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• The Foaming Three-Charge Black Hole
• A class of BPS time-dependent 3-charge microstates from spectral flow
• A description of 1/4 BPS configurations in minimal type IIB SUGRA

Cited by in corpus (37)

• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• AdS spacetimes from wrapped M5 branes
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• M5-branes and Wilson Surfaces
• Half-BPS supergravity solutions and superalgebras
• Strings ending on branes from supergravity
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• New $\mathcal{N}=(0,4)$ AdS${}_3$ near-horizons in Type IIB
• BPS objects in D=7 supergravity and their M-theory origin
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• 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
• Higher laminations, webs and N=2 line operators
• Open Worldsheets for Holographic Interfaces
• AdS spacetimes from wrapped D3-branes
• Exact Half-BPS Flux Solutions in M-theory with $D(2,1;c^{\prime };0{)}^2$ Symmetry: Local Solutions
• A prediction for bubbling geometries
• Operator Product Expansion of Wilson surfaces from M5-branes
• String Junctions and Holographic Interfaces
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• The Self-dual String Soliton in AdS_4\times S^7 spacetime
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• Entanglement entropy of Wilson loops: Holography and matrix models
• Holographic Generalised Gukov-Witten Defects
• Holographic Entropy and Calabi's Diastasis
• Beyond LLM in M-theory
• Flavor from M5-branes
• Interior analysis, stretched technique and bubbling geometries
• Holographic M5 branes in $Ad{S}_7\times S^4$
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
• More Holographic M5 branes in $Ad{S}_7\times S^4$
• ${\text{AdS}}_3$ vacua and surface defects in massive IIA
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• Entanglement and Excitations in Gauge/Gravity Duality
• $\kappa$-symmetric M5 brane web for defects in $Ad{S}_7/CF{T}_6$ holography