6 papers
A density calculus for quantum field theory
Tanay Kibe, Pratik Roy
These notes provide an introduction to Haagerup noncommutative spaces for quantum field theorists. The aim is to explain how the familiar calculus of density matrices, fracti…
Integral representations of quantum Rényi divergences on von Neumann algebras
Tanay Kibe, Pratik Roy
We prove an integral representation of the - Rényi divergences for normal states on arbitrary von Neumann algebras. Along each ray , the divergence is a positive averag…
No off-diagonal quantum focusing for Rényi divergences
Tanay Kibe, Pratik Roy
The quantum focusing conjecture (QFC) is a mathematical expression of the idea that semiclassical gravity remains universally attractive. In its non-gravitational limit, the diagon…
A general proof of integer Rényi QNEC
Tanay Kibe, Pratik Roy
We prove the Rényi quantum null energy condition for every integer Rényi order . In local Poincaré-invariant quantum field theory, this states that the sandwiched Rényi div…
Machine learning automorphic forms for black holes
Vishnu Jejjala, Suresh Nampuri, Dumisani Nxumalo +2
Modular, Jacobi, and mock-modular forms serve as generating functions for BPS black hole degeneracies. By training feed-forward neural networks on Fourier coefficients of automorph…
Colored Jones Polynomials and the Volume Conjecture
Mark Hughes, Vishnu Jejjala, P. Ramadevi +2
Using the vertex model approach for braid representations, we compute polynomials for spin-1 placed on hyperbolic knots up to 15 crossings. These polynomials are referred to as 3-c…