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The level structure in quantum K-theory and mock theta functions
This is the first in a sequence of papers to develop the theory of levels in quantum K-theory and study its applications. Our main results in this paper are mirror theorems for
Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
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 spinfoam amplitude
Group field theory for quantum gravity minimally coupled to a scalar field
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, implicitly, a
Null twisted geometries
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 terms of twistors,
Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula
TLDR
For a simple interacting group field theory, it is proved the linear corrections, given by a polynomial perturbation of the Gaussian measure, to be negligible for a broad class of networks.
On classification of toric surface codes of low dimension
On classification of toric surface codes of dimension seven
TLDR
An almost complete classification of toric surface codes of dimension less than or equal to 7 is given, according to monomially equivalence, which is a natural extension of the previous work [YZ], [LYZZ].
Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
TLDR
This work establishes a dictionary between group field theory states and generalized random tensor networks and uses this dictionary to compute the Renyi entropy of such states and recover the Ryu-Takayanagi formula.
Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory
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 configuration {jf, gve, nef}
Ryu-Takayanagi formula for symmetric random tensor networks
TLDR
The result provides an interesting new extension of the existing derivations of the RT formula for RTNs, and brings it in direct relation with (tensorial) group field theories (and spin networks), and thus provides new tools for realizing the tensor network/geometry duality in the context of background-independent quantum gravity.
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