1 citations · 2 across the 8 of their papers we have counts for
8 papers
Holonomy Reconstruction and Character Varieties of Lorentzian Curved Tetrahedra
Hongguang Liu, Qiaoyin Pan
We give a recognition and reconstruction theorem for finite strictly convex tetrahedra in and with spacelike, timelike, or null faces. The input consists…
Hessian in the spinfoam models with cosmological constant
Wojciech Kamiński, Qiaoyin Pan
In this paper, we introduce a general method to prove the non-degeneracy of the Hessian in the spinfoam vertex amplitude for quantum gravity and apply it to the spinfoam models wit…
Complex Chern-Simons Theory with and An Improved Spinfoam Model with Cosmological Constant
Muxin Han, Qiaoyin Pan
This paper presents an improvement to the four-dimensional spinfoam model with cosmological constant (-SF model) in loop quantum gravity. The original -SF model, defined via…
Geometrical Reconstruction of Spinfoam Critical Points with A Cosmological Constant
Qiaoyin Pan
In this work, we present a geometrical reconstruction of the critical points of the spinfoam amplitude for a 4D Lorentzian model with a non-zero cosmological constant. By establish…
Quantum Curved Tetrahedron, Quantum Group Intertwiner Space, and Coherent States
Chen-Hung Hsiao, Qiaoyin Pan
In this paper, we construct the phase space of a constantly curved tetrahedron with fixed triangle areas in terms of a pair of Darboux coordinates called the length and twist coord…
Deficit Angles in 4D Spinfoam with Cosmological Constant: (Anti) de Sitter-ness and More
Muxin Han, Qiaoyin Pan
This paper investigates the critical behaviors of the 4-dimensional spinfoam model with cosmological constant for a general 4-dimensional simplicial complex as the discretization o…
Quantum Group Intertwiner Space From Quantum Curved Tetrahedron
Muxin Han, Chen-Hung Hsiao, Qiaoyin Pan
In this paper, we develop a quantum theory of homogeneously curved tetrahedron geometry, by applying the combinatorial quantization to the phase space of tetrahedron shapes defined…
Melonic Radiative Correction in Four-Dimensional Spinfoam Model with Cosmological Constant
Muxin Han, Qiaoyin Pan
Infrared divergence is a common feature of spinfoam models with a vanishing cosmological constant but is expected to disappear in presence of a non-vanishing cosmological constant.…