6 citations · 13 across the 4 of their papers we have counts for
4 papers
Quantum surface holonomies for loop quantum gravity and their application to black hole horizons
Hanno Sahlmann, Thomas Zilker
In this work we define a new type of flux operators on the Hilbert space of loop quantum gravity. We use them to solve an equation of the form in loop quantum gravity.…
The geometry and entanglement entropy of surfaces in loop quantum gravity
David Grüber, Hanno Sahlmann, Thomas Zilker
In loop quantum gravity, the area element of embedded spatial surfaces is given by a well-defined operator. We further characterize the quantized geometry of such surfaces by propo…
Interpreting the isolated horizon boundary condition in terms of higher gauge theory
Thomas Zilker
The purpose of this letter is to point out a relation between the boundary condition satisfied by spherically symmetric isolated horizons (formulated in terms of Ashtekar-Barbero v…
Extensions of the Duflo map and Chern-Simons expectation values
Hanno Sahlmann, Thomas Zilker
The Duflo map is a valuable tool for operator ordering in contexts in which Kirillov-Kostant brackets and their quantizations play a role. A priori, the Duflo map is only defined o…