7 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…