Brane webs and 1/4-BPS geometries

Abstract

We discuss brane webs preserving eight supercharges and derive geometries produced by them. Consistency conditions of supergravity are shown to impose certain requirements on the locations of the sources, and these restrictions are found to be in a perfect agreement with results of the probe analysis. In particular, solutions of IIB SUGRA describing (p,q) stings are inconsistent, unless the web consists of straight line segments whose orientation is correlated with charges of the string. The geometries produced by membranes and D3 branes are only consistent if brane profiles are holomorphic. Using perturbation theory, we show that a unique gravity solution exists for any allowed distribution of sources. We also revisit 1/4-BPS geometries with AdS_p x S^q asymptotics and derive the boundary conditions leading to regular geometries. All degenerate limits of regular solutions are shown to agree with expectations from the brane probe analysis.

97 pages, added refs

Cited by in corpus (37)

• AdS_6 solutions of type II supergravity
• Spin-2 spectrum of defect theories
• Nonplanar Integrability
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• Brane Effective Actions, Kappa-Symmetry and Applications
• From counting to construction of BPS states in N=4 SYM
• Holographic duals of Boundary CFTs
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• Holographic RG-flows and Boundary CFTs
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Quarter-BPS AdS5 solutions in M-theory with a T2 bundle over a Riemann surface
• Holography of BPS surface operators
• Minimal flux Minkowski classification
• Cut-and-join operators and N=4 super Yang-Mills
• BPS Chaos
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• String Junctions and Holographic Interfaces
• Open/closed string duality and relativistic fluids
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• The Born-Infeld/Gravity Correspondence
• Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons
• Quarter-BPS states, multi-symmetric functions and set partitions
• Relating Conifold Geometries to NS5-branes
• Strings on Bubbling Geometries
• Small Black holes vs horizonless solutions in AdS
• (p,q)-strings probing five-brane webs
• Young diagrams, Brauer algebras, and bubbling geometries
• Note on Generalized Janus Configurations
• DBI from Gravity
• Supersymmetric Perturbations of the M5 brane
• Interior analysis, stretched technique and bubbling geometries
• Four-point correlators in N=4 SYM from AdS${}_5$ bubbling geometries
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
• Precision holography of AdS${}_5$ bubbling geometries
• Eigenvalue Dynamics for Multimatrix Models
• Dyonic D3 branes