activity
20172023
most citedA Mathematical Analysis of the Axial Anomaly

5 citations · 15 across the 8 of their papers we have counts for

collaborators

8 papers

math.AT2023

Homotopy Prefactorization Algebras

Najib Idrissi, Eugene Rabinovich

We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras on a fixed space M. his allows u…

math.QA2022★ 1 cited

A Classical Bulk-Boundary Correspondence

Eugene Rabinovich

In this article, we use the language of -factorization algebras to articulate a classical bulk-boundary correspondence between 1) the observables of a Poisson Batalin…

math.QA2021★ 4 cited

Factorization Algebras for Bulk-Boundary Systems

Eugene Rabinovich

Costello and Gwilliam have given both 1) a general definition of perturbative quantum gauge theory on a manifold M and 2) a construction of a factorization algebra of quantum obser…

math-ph2021★ 2 cited

Quantization of topological-holomorphic field theories: local aspects

Owen Gwilliam, Eugene Rabinovich, Brian R. Williams

In both mathematics and physics, topological field theories and holomorphic field theories appear naturally, but there are interesting theories that are hybrids -- looking topologi…

math.QA2020★ 2 cited

Factorization Algebras for Classical Bulk-Boundary Systems

Eugene Rabinovich

We study a certain class of bulk-boundary systems in the Batalin-Vilkovisky (BV) formalism. We construct factorization algebras of observables for such bulk-boundary systems, and s…

math.QA2020

Factorization algebras and abelian CS/WZW-type correspondences

Owen Gwilliam, Eugene Rabinovich, Brian R. Williams

We develop a method of quantization for free field theories on manifolds with boundary where the bulk theory is topological in the direction normal to the boundary and a local boun…

math-ph2019★ 1 cited

The Batalin-Vilkovisky Formalism and the Determinant Line Bundle

Eugene Rabinovich

Given a smooth family of massless free fermions parametrized by a base manifold , we show that the (mathematically rigorous) Batalin-Vilkovisky quantization of the observables o…

math-ph2017★ 5 cited

A Mathematical Analysis of the Axial Anomaly

Eugene Rabinovich

As is well known to physicists, the axial anomaly of the massless free fermion in Euclidean signature is given by the index of the corresponding Dirac operator. We use the Batalin-…