385 citations · 1.3k across the 33 of their papers we have counts for
3 papers · 1 filter
SL(2,C) Chern-Simons Theory, Flat Connections, and Four-dimensional Quantum Geometry
Hal M. Haggard, Muxin Han, Wojciech Kaminski +1
A correspondence between three-dimensional flat connections and constant curvature four-dimensional simplices is used to give a novel quantization of geometry via complex SL(2,C) C…
Four-dimensional Quantum Gravity with a Cosmological Constant from Three-dimensional Holomorphic Blocks
Hal M. Haggard, Muxin Han, Wojciech Kamiński +1
Prominent approaches to quantum gravity struggle when it comes to incorporating a positive cosmological constant in their models. Using quantization of a complex $\mathrm{SL}(2,\ma…
Encoding Curved Tetrahedra in Face Holonomies: a Phase Space of Shapes from Group-Valued Moment Maps
Hal M. Haggard, Muxin Han, Aldo Riello
We present a generalization of Minkowski's classic theorem on the reconstruction of tetrahedra from algebraic data to homogeneously curved spaces. Euclidean notions such as the nor…