Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus

Abstract

The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold $Ad{S}_4\times S^2\times S^2\times \Sigma$ with $SO(2,3)\times SO(3)\times SO(3)$ symmetry in terms of two holomorphic functions on a Riemann surface $\Sigma$, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and Sine-Gordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a non-singular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric Yang-Mills interface theory discovered recently. The construction of general classes of globally non-singular solutions, including fully back-reacted $Ad{S}_5\times S^5$ and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper.

LaTeX, 69 pages, 3 figures, v2: references added

References in corpus (8)

• Holographic Wilson Loops
• On gravitational description of Wilson lines
• Interface Yang-Mills, Supersymmetry, and Janus
• Ten-dimensional supersymmetric Janus solutions
• Bubbling Defect CFT's
• Dual of Big-bang and Big-crunch
• Janus within Janus
• All 1/2 BPS solutions of IIB supergravity with SO(4) x SO(4) isometry

Cited by in corpus (12)

• Black Holes as Effective Geometries
• Anatomy of bubbling solutions
• AdS spacetimes from wrapped M5 branes
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• Half-BPS supergravity solutions and superalgebras
• Holographic Gauge Theories in Background Fields and Surface Operators
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Janus and Multifaced Supersymmetric Theories II
• New half supersymmetric solutions of the heterotic string
• AdS spacetimes from wrapped D3-branes
• Note on Generalized Janus Configurations
• The Ising model and planar N=4 Yang-Mills