Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields

Abstract

Cone holography is a codimension-$n$ doubly holographic model, which can be interpreted as the holographic dual of edge modes on defects. The initial model of cone holography is based on mixed boundary conditions. This paper formulates cone holography with Neumann boundary conditions, where the brane-localized gauge fields play an essential role. Firstly, we illustrate the main ideas in an AdS${}_4$/CFT${}_1$ toy model. We show that the $U(1)$ gauge field on the end-of-the-world brane can make the typical solution consistent with Neumann boundary conditions. Then, we generalize the discussions to general codimension-$n$ cone holography by employing brane-localized $p$-form gauge fields. We also investigate perturbative solutions and prove the mass spectrum of Kaluza-Klein gravitons is non-negative. Furthermore, we prove that cone holography obeys holographic $c$-theorem. Finally, inspired by the recently proposed chiral model in AdS/BCFT, we construct another type of cone holography with Neumann boundary conditions by applying massive vector (Proca) fields on the end-of-the-world brane.

31 pages, 2 figures, references added, revision published in JHEP

References in corpus (21)

• Holographic c-theorems in arbitrary dimensions
• Island in Charged Black Holes
• Probing Hawking radiation through capacity of entanglement
• An Exact Construction of Codimension two Holography
• AdS/BCFT with Brane-Localized Scalar Field
• Entanglement Island and Page Curve in Wedge Holography
• AdS/BCFT and Island for curvature-squared gravity
• Massless Entanglement Islands in Cone Holography
• Page Curve of Effective Hawking Radiation
• Codimension-n Holography for Cones
• Wedge Holography in Flat Space and Celestial Holography
• Island on codimension-two branes in AdS/dCFT
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• Holographic duals of evaporating black holes
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• Island formula in Planck brane
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• Effective Action, Spectrum and First Law of Wedge Holography
• Holographic Anomalous Chiral Current Near a Boundary
• Encoded information of mixed correlations: the views from one dimension higher

Cited by in corpus (1)

• Casimir Effect and Holographic Dual of Wedges