Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories

Abstract

Type IIB superstring theory has AdS_3 x S^3 x M_4 (where the manifold M_4 is either K_3 or T^4) solutions which preserve sixteen supersymmetries. In this paper we consider half-BPS solutions which are locally asymptotic to AdS_3 x S^3 x M_4 and preserve eight of the sixteen supersymmetries. We reduce the BPS equations and the Bianchi identity for the self-dual five-form field to a set of four differential equations. The complete local solution can be parameterized in terms of two harmonic and two holomorphic functions and all bosonic fields have explicit expressions in terms of these functions. We analyze the conditions for global regularity and construct new half-BPS Janus-solutions which have two asymptotic AdS_3 regions. In addition, our analysis proves the global regularity of a class of solutions with more than two asymptotic AdS_3 regions. Finally, we discuss the dual interpretation as a supersymmetric interface theory for the half-BPS Janus solutions carrying only Ramond-Ramond three-form charge.

61 pages, 14 figures, pdflatex, reference added, minor changes and clarifications

References in corpus (14)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Holographic Wilson Loops
• On gravitational description of Wilson lines
• Topological defects for the free boson CFT
• Interface Yang-Mills, Supersymmetry, and Janus
• 1/2-BPS states in M theory and defects in the dual CFTs
• Fusion of conformal interfaces
• Bubbling Defect CFT's
• Exact Half-BPS Flux Solutions in M-theory II: Global solutions asymptotic to AdS_7 x S^4
• Counting Giant Gravitons in AdS_3
• Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7
• Supersymmetric Giant Graviton Solutions in AdS_3
• Asymptotic symmetries of AdS2 Branes
• Anomaly-Free Supergravities in Six Dimensions

Cited by in corpus (47)

• Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects
• Unraveling conformal gravity amplitudes
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Holographic duals of Boundary CFTs
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• Holographic RG-flows and Boundary CFTs
• Boundary entropy of supersymmetric Janus solutions
• High energy collision of two particles in wormhole spacetimes
• Simple holographic duals to boundary CFTs
• Entanglement entropy at holographic interfaces
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Supersymmetric Janus solutions in four-dimensional N=3 gauged supergravity
• Fermions and Type IIB Supergravity On Squashed Sasaki-Einstein Manifolds
• Open Worldsheets for Holographic Interfaces
• Janus Black Holes
• Energy Transport for Thick Holographic Branes
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• String Junctions and Holographic Interfaces
• AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces
• The Dictionary for Double Holography and Graviton Masses in d Dimensions
• A note on entanglement entropy for topological interfaces in RCFTs
• Multi-faced Black Janus and Entanglement
• Universal Behavior of Entanglement Entropies in Interface CFTs from General Holographic Spacetimes
• Conformal Janus on Euclidean Sphere
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Transport across interfaces in symmetric orbifolds
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• Janus on the Brane
• Conformal Defect Solutions in $N=2,D=4$ Gauged Supergravity
• First order formalism for the holographic duals of defect CFTs
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Entanglement entropy of Wilson loops: Holography and matrix models
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• Lifshitz-like Janus Solutions
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• AdS-Sliced Flavor Branes and Adding Flavor to the Janus Solution
• A supersymmetric holographic dual of a fractional topological insulator
• Holographic RG Flows for Kondo-like Impurities
• New supersymmetric Janus solutions from N=4 gauged supergravity
• The conformal brane-scan: an update
• Janus and RG-flow interfaces from matter-coupled F(4) gauged supergravity
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• Supersymmetric Janus solutions in $\omega$-deformed N=8 gauged supergravity
• New Janus interfaces from four-dimensional N=3 gauged supergravity
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries