Membranes Wrapped on Holomorphic Curves

Abstract

We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi-Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D=4 gauged supergravity and then uplifted to D=11. For four-folds and five-folds we find new smooth AdS/CFT examples and for all cases we analyse the nature of the singularities that arise. Our results provide an interpretation of certain charged topological AdS black holes. We also present the generalised calibration two-forms for the solutions.

22 pages, 6 figures

References in corpus (3)

• The supergravity dual of a theory with dynamical supersymmetry breaking
• D6 branes and M theory geometrical transitions from gauged supergravity
• Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions

Cited by in corpus (74)

• Black hole microstates in AdS${}_4$ from supersymmetric localization
• G-Structures and Wrapped NS5-Branes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• AdS(3) Solutions of IIB Supergravity from D3-branes
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Supersymmetric AdS_3, AdS_2 and Bubble Solutions
• D3-branes wrapped on a spindle
• Wrapped fivebranes and N=2 super Yang-Mills theory
• AdS spacetimes from wrapped M5 branes
• Universal RG Flows Across Dimensions and Holography
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• BPS Black Holes in AdS4 from M-theory
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• Comments on AdS2 solutions of D=11 Supergravity
• New supersymmetric AdS_3 solutions
• M5-branes wrapped on a spindle
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Intersecting brane solutions in string and M-theory
• From AdS Black Holes to Supersymmetric Flux-branes
• Branes, Calibrations and Supergravity
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Interpolating from AdS_(D-2) X S^2 to AdS_D
• Branes Wrapped on Coassociative Cycles
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• Gauge theories from wrapped and fractional branes
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• BPS Black Hole Horizons in N=2 Gauged Supergravity
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• Holographic Uniformization
• Various Wrapped Branes from Gauged Supergravities
• An eight-dimensional approach to G_2 manifolds
• A Supersymmetric and Smooth Compactification of M-theory to AdS(5)
• M-Theory solutions with AdS factors
• Information transfer with a twist
• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS spacetimes from wrapped D3-branes
• Supersymmetric AdS Backgrounds in String and M-theory
• Magnetic Branes in d-dimensional AdS Einstein-Maxwell Gravity
• Supergravity Dual of Noncommutative N=1 SYM
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• Curved Branes in AdS Einstein-Maxwell Gravity and Killing Spinors
• Membrane Quantum Mechanics
• Wrapped Branes and Punctured Horizons
• Charged configurations in (A)dS spaces
• M2-branes wrapped on holomorphic curves
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• Branes with fluxes wrapped on spheres
• New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity
• M2-branes wrapped on a topological disk
• M2-branes on a constant flux background
• Black hole microstates and supersymmetric localization
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• The Backreacted Kähler Geometry of Wrapped Branes
• Magnetic charge and black hole supersymmetric quantum statistical relation
• Five dimensional 2-branes from special Lagrangian wrapped M5-branes
• Supersymmetric solutions from N=6 gauged supergravity
• Holographic Uniformization and Black Hole Attractors
• Wrapped branes with fluxes in 8d gauged supergravity
• Gauged Supergravities from Spherical Reductions
• Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
• From wrapped M-branes to Calabi-Yau black holes and strings
• Nut-charged black holes in matter-coupled N=2, D=4 gauged supergravity
• Superconformal Quantum Mechanics from M2-branes
• Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H${}^{(p,q)}$ spaces
• $c$-functions in Higher-derivative Flows Across Dimensions
• Holonomy from wrapped branes
• Wrapped NS5-Branes, Consistent Truncations and Inönü-Wigner Contractions
• Thermodynamics of spinning AdS4 black holes in gauged supergravity
• New Solution of D=11 Supergravity on S^7 from D=4
• Supersymmetric AdS4 black holes from matter-coupled N=3,4 gauged supergravities
• Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
• Commutative and noncommutative N=2 SYM in 2+1 from wrapped D6-branes