Qiaoyin Pan

activity

20242026

collaborators

6 papers

math-ph2026

Generalized Minkowski Theorem for Tetrahedra in $dS^{3}$ and $AdS^{3}$

Hongguang Liu, Qiaoyin Pan

We formulate and prove a constant-curvature, holonomy-valued Lorentzian analogue of Minkowski theorem for generalized tetrahedra in the constant-curvature Lorentzian spaces ${\rm d…

gr-qc2026

Hessian in the spinfoam models with cosmological constant

Wojciech KamiÅski, 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…

gr-qc2025

Complex Chern-Simons Theory with $k = 8 N$ 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 ( $I^$ -SF model) in loop quantum gravity. The original $I^$ -SF model, defined vi…

gr-qc2025

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…

gr-qc2024

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…

gr-qc2024

Melonic Radiative Correction in Four-Dimensional Spinfoam Model with Cosmological Constant