Upamanyu Moitra
Research
What I work on
Each theme links to the papers that belong to it.
Papers
Publications
Newest first. Search by title, co-author, year or arXiv number; filter by theme; copy BibTeX from any row.
Demos
Things you can play with
Each solves the real equations in your browser. Small windows onto problems from the papers.
Entanglement from a geodesic
In AdS₃/CFT₂ the entanglement entropy of a boundary interval is a quarter of the length of the bulk geodesic hanging below it, in Planck units. Drag the interval and watch the geodesic and the entropy respond.
S(θ) is symmetric about θ = π because the global state is pure: the entropy of a region equals that of its complement.
Growing an AdS₂ throat
A charged black hole cooled towards extremality grows an ever longer neck. That neck is where two-dimensional Jackiw–Teitelboim gravity takes over.
Units G = M = 1. Near extremality the entropy above its extremal value approaches 4π²T, the linear specific heat Jackiw–Teitelboim gravity predicts.
Where chaos starts
A spring that is not quite Hooke's, driven periodically. It goes from orderly to chaotic as you turn a single dial.
The trace is the trajectory in the (x, ẋ) plane. Dots are the Poincaré section, one per drive period: a few dots means order, a cloud means chaos.
The shape of a black hole
The causal structure of an eternal black hole, drawn so that light always travels at 45°. Click anywhere to send out a pair of light rays.
Inside the horizon every ray ends on the singularity.
Writing
Notes and essays
Code
Computation
Talks
Seminars and conferences
Selected talks, seminars and posters, with recordings where they exist.
CV
The rest of the record
Training, teaching, refereeing, and the awards that came along the way.