69 citations · 332 across the 13 of their papers we have counts for
13 papers
Multiplier ideals of analytically irreducible plane curves
Mingyi Zhang
Let be a Puiseux series of the germ of an analytically irreducible plane curve . We provide a new perspective to construct a set of polynomials a…
Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
Goffredo Chirco, Alex Goeßmann, Daniele Oriti +1
We introduce group field theory networks as a generalization of spin networks and of (symmetric) random tensor networks and provide a statistical computation of the Rényi entropy f…
Hodge filtration and Hodge ideals for -divisors with weighted homogeneous isolated singularities
Mingyi Zhang
We give an explicit formula for the Hodge filtration on the -module associated to the effective -divisor , where a…
Ryu-Takayanagi Formula for Symmetric Random Tensor Networks
Goffredo Chirco, Daniele Oriti, Mingyi Zhang
We consider the special case of Random Tensor Networks (RTN) endowed with gauge symmetry constraints on each tensor. We compute the Rènyi entropy for such states and recover the Ry…
Group field theory for quantum gravity minimally coupled to a scalar field
Yang Li, Daniele Oriti, Mingyi Zhang
We construct a group field theory model for quantum gravity minimally coupled to relativistic scalar fields, defining as well a corresponding discrete gravity path integral (and, i…
Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
Goffredo Chirco, Daniele Oriti, Mingyi Zhang
We establish a dictionary between group field theory (thus, spin networks and random tensors) states and generalized random tensor networks. Then, we use this dictionary to compute…
On Spinfoams Near a Classical Curvature Singularity
Muxin Han, Mingyi Zhang
We apply the technique of spinfoam to study the space-time which, classically, contains a curvature singularity. We derive from the full covariant Loop Quantum Gravity (LQG) that t…
Area Law from Loop Quantum Gravity
Alioscia Hamma, Ling-Yan Hung, Antonino Marciano +1
We explore the constraints following from requiring the Area Law in the entanglement entropy in the context of loop quantum gravity. We find a unique solution to the single link wa…
On Classification of Toric Surface Codes of Low Dimension
Xue Luo, Stephen S. -T. Yau, Mingyi Zhang +1
This work is a natural continuation of our previous work \cite{yz}. In this paper, we give a complete classification of toric surface codes of dimension less than or equal to 6, ex…
Null twisted geometries
Simone Speziale, Mingyi Zhang
We define and investigate a quantisation of null hypersurfaces in the context of loop quantum gravity on a fixed graph. The main tool we use is the parametrisation of the theory in…
Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory
Muxin Han, Mingyi Zhang
We study the large-j asymptotics of the Euclidean EPRL/FK spin foam amplitude on a 4d simplicial complex with arbitrary number of simplices. We show that for a critical configurati…
Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
Muxin Han, Mingyi Zhang
The present paper studies the large-j asymptotics of the Lorentzian EPRL spinfoam amplitude on a 4d simplicial complex with an arbitrary number of simplices. The asymptotics of the…
Euclidean three-point function in loop and perturbative gravity
Carlo Rovelli, Mingyi Zhang
We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region o…