A ribbon ZX calculus is defined for 2D Yang-Mills theory via the Hopf Frobenius structure of the group algebra, which matches 2D TQFT diagrammatics.
Entanglement branes in a two-dimensional string theory
3 Pith papers cite this work, alongside 42 external citations. Polarity classification is still indexing.
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abstract
What is the meaning of entanglement in a theory of extended objects such as strings? To address this question we consider the spatial entanglement between two intervals in the Gross-Taylor model, the string theory dual to two-dimensional Yang-Mills theory at large $N$. The string diagrams that contribute to the entanglement entropy describe open strings with endpoints anchored to the entangling surface, as first argued by Susskind. We develop a canonical theory of these open strings, and describe how closed strings are divided into open strings at the level of the Hilbert space. We derive the Modular hamiltonian for the Hartle-Hawking state and show that the corresponding reduced density matrix describes a thermal ensemble of open strings ending on an object at the entangling surface that we call an E-brane.
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UNVERDICTED 3representative citing papers
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
A new action for entanglement entropy in AdS3/CFT2 derives gravity equations, reduces to a string worldsheet, reproduces bit threads, and unifies several quantum gravity conjectures.
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A ribbon ZX calculus for gauge theory
A ribbon ZX calculus is defined for 2D Yang-Mills theory via the Hopf Frobenius structure of the group algebra, which matches 2D TQFT diagrammatics.
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Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes
Minimal edge modes compatible with Chern-Simons topological invariance are proposed as quantum group particles, yielding a factorization of 3d gravity state space that matches proposals linking Bekenstein-Hawking entropy to topological entanglement entropy.
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Toward a worldsheet theory of entanglement entropy
A new action for entanglement entropy in AdS3/CFT2 derives gravity equations, reduces to a string worldsheet, reproduces bit threads, and unifies several quantum gravity conjectures.