13 papers
A solvable model of 3d quantum gravity
Anatoly Dymarsky
We consider a model of 3d quantum gravity defined by copies of a rational Virasoro TQFT with central charge , summed over all 3d topologies. This theory is holographically…
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 duality from Howe duality: Chern-Simons gravity as an ensemble of code CFTs
Anatoly Dymarsky, Johan Henriksson, Brian McPeak
We discuss the holographic correspondence between 3d "Chern-Simons gravity" and an ensemble of 2d Narain code CFTs. Starting from 3d abelian Chern-Simons theory, we construct an en…
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…
Temperature dependence in Krylov space
Nikolaos Angelinos, Debarghya Chakraborty, Anatoly Dymarsky
We consider the recursion method applied to a generic 2pt function of a quantum system and show, in full generality, that the temperature dependence of the corresponding Lanczos co…
Krylov complexity in quantum field theory, and beyond
Alexander Avdoshkin, Anatoly Dymarsky, Michael Smolkin
We study Krylov complexity in various models of quantum field theory: free massive bosons and fermions on flat space and on spheres, holographic models, and lattice models with the…