8 papers
On the monodromy of KZ-connections with irregular singularities
Xia Gu, Babak Haghighat, Pavel Putrov
We study Knizhnik-Zamolodchikov (KZ) connection in the presence of irregular singularities, that is, poles of higher order. We consider both the case of a universal connection and…
On Quantum Modularity for Geometric 3-Manifolds
Pavel Putrov, Ayush Singh
The quantum modularity conjecture, first introduced by Don Zagier, is a general statement about a relation between quantum invariants of links and 3-manifolds at…
On the action of non-invertible symmetries on local operators in 3+1d
Pavel Putrov, Rajath Radhakrishnan
Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local operators. An exception is coset symmetries, wh…
From Multipartite Entanglement to TQFT
Michele Del Zotto, Abhijit Gadde, Pavel Putrov
At long distances, a gapped phase of matter is described by a topological quantum field theory (TQFT). We conjecture a tight and concrete relationship between the genuine -p…
Approximating Chern-Simons theory by finite group gauge theories
Thomas Nicosanti, Pavel Putrov, Johann Quenta-Raygada
Motivated by some previously known facts from mathematical and physics literature, we explore certain relations between 3-dimensional topological gauge theories with continuous and…
Summing over homology groups of 3-manifolds
Thomas Nicosanti, Pavel Putrov
We consider a toy model of a 3-dimensional topological quantum gravity. In this model, a contribution of a given 3-manifold is given by the partition function of an abelian Topolog…