Holographic entanglement in systems with defects and interfaces
Research
A map of problems, methods and public results
My research asks how gravitational geometry encodes quantum information, particularly when a system contains boundaries, defects or effective lower-dimensional gravitational sectors. I work across holography, conformal field theory and semiclassical gravity, using geometric constructions, analytic calculations and numerical models to distinguish robust structure from prescription-dependent detail.
01 / Research arc
From islands to boundary geometry
- 2021
Island formula → defect extremal surfaces
AdS/BCFT · bulk decomposition
Defect extremal surface as the holographic counterpart of Island formula - 2021
Higher-dimensional Page curves
time dependence · dimensional comparison
Page curve from defect extremal surface and island in higher dimensions - 2023
JT gravity from partial reduction
brane fluctuation · dilaton gravity
JT gravity from partial reduction and defect extremal surface - 2024–25
EOW branes and irrelevant deformation
finite cutoff · boundary observables
End of the world brane meets TT̄
02 / Current interests
Public problem classes, not private project plans
Geometric descriptions of quantum extremal structures
Boundary and defect entropy
Quantum field theory on nontrivial Cauchy slices
Computational methods for Gaussian and lattice field theories
AI-assisted scientific reasoning and verification
03 / Research surfaces
Where the work meets
public-summary
Geometry and quantum information
I study how entanglement and gravitational regions are represented by extremal geometric structures, especially in black-hole and brane-world settings.
RT/HRT/QESisland formulabrane constructionssemiclassical gravity
public-summary
Boundaries, defects and interfaces
I examine how boundaries and defects change holographic geometry, field-theory observables, and effective lower-dimensional gravitational descriptions.
AdS/BCFTBCFT/DCFTdefect entropypartial reduction
signal-only
Computational field theory
I develop analytic and numerical checks for entanglement and interface problems, using lattice and Gaussian methods where they sharpen the continuum question.
lattice modelsGaussian covariance methodsMathematicaPython
04 / Methods
Mutually checking layers
| Domain | Methods |
|---|---|
| Holography | RT/HRT/QES, AdS/BCFT, brane constructions |
| Field theory | CFT/BCFT/DCFT, replica methods, open/closed channels |
| Gravity | semiclassical gravity, JT gravity, dimensional reduction |
| Numerics | lattice fermions, Gaussian bosonic systems, covariance methods |
| Computation | Mathematica, Python, symbolic and numerical verification |
| Research systems | literature mapping, manuscript auditing, AI-agent workflows |