14 citations · 21 across the 9 of their papers we have counts for
9 papers
Tripartite Form Universality in Holographic Entropy Inequalities
Veronika E. Hubeny, Yu Liu
To elucidate the meaning of holographic entropy inequalities (beyond subadditivity) which characterize the entanglement structure of geometric states in holography, arXiv:2309.0629…
On the KAK Decomposition and Equivalence Classes
Dawei Ding, Yu Liu, Zi-Wen Liu
The KAK decomposition is a fundamental tool in Lie theory and quantum computing. Despite its widespread use, the mathematical foundations remain incomplete, particularly regarding…
-algebras in m-categories
Yu Leon Liu
We prove a connectivity bound for maps of -operads of the form , and as a consequence, give an in…
From bordisms of three-manifolds to domain walls between topological orders
Yu Leon Liu, Dalton A R Sakthivadivel
We study a correspondence between spin three-manifolds and bosonic abelian topological orders. Let be a spin three-manifold. We can define a -dimensional topological ord…
Braiding on complex oriented Soergel bimodules
Yu Leon Liu
In this note, we study U(n) Soergel bimodules in the context of stable homotopy theory. We define the -category of -valued U(n) Soergel bimodul…
Unital k-Restricted Infinity-Operads
Amartya Shekhar Dubey, Yu Leon Liu
We study unital -operads by their arity restrictions. Given , we develop a model for unital -restricted -operads, which are variants of -operad…
A braided monoidal -category of Soergel bimodules
Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…
Two infinite families of facets of the holographic entropy cone
Bartlomiej Czech, Yu Liu, Bo Yu
We verify that the recently proven infinite families of holographic entropy inequalities are maximally tight, i.e. they are facets of the holographic entropy cone. The proof is tec…
Topological aspects of brane fields: solitons and higher-form symmetries
Salvatore D. Pace, Yu Leon Liu
In this note, we classify topological solitons of -brane fields, which are nonlocal fields that describe -dimensional extended objects. We consider a class of -brane field…