372 citations · 2.5k across the 34 of their papers we have counts for
36 papers
Mass formula for topological boundary conditions from TQFT gravity
Anatoly Dymarsky, Alfred Shapere
Mass formulas evaluate the total weighted count of a given class of algebraic structures, such as lattices or codes. We show that 3d TQFTs provide a generalization of this concept:…
Holographic description of 4d Maxwell theories and their code-based ensembles
Ahmed Barbar, Anatoly Dymarsky, Alfred Shapere
We formulate a precise holographic duality between an ensemble of 4d Maxwell theories living on a spin four-manifold and an Abelian BF-type 2-form gauge theory of le…
TQFT gravity and ensemble holography
Anatoly Dymarsky, Alfred Shapere
We outline a general derivation of holographic duality between "TQFT gravity" - the path integral of a 3d TQFT summed over different topologies - and an ensemble of boundary 2d CFT…
Holographic description of Narain CFTs and their code-based ensembles
Ofer Aharony, Anatoly Dymarsky, Alfred D. Shapere
We provide a precise relation between an ensemble of Narain conformal field theories (CFTs) with central charge , and a sum of Chern-Simons theories on…
Global Symmetries, Code Ensembles, and Sums Over Geometries
Ahmed Barbar, Anatoly Dymarsky, Alfred D. Shapere
We consider Abelian topological quantum field theories (TQFTs) in 3d and show that gaugings of invertible global symmetries naturally give rise to additive codes. These codes emerg…
Comments on the holographic description of Narain theories
Anatoly Dymarsky, Alfred Shapere
We discuss the holographic description of Narain conformal field theories, and their potential similarity to conventional weakly coupled gravity in the bulk,…