activity
20102026
most citedOn the classification of topological orders

177 citations · 633 across the 31 of their papers we have counts for

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Showing math-phShow all

9 papers · 1 filter

math-ph2023

Ground-state degeneracy of twisted sectors of Conway Moonshine SCFT

Alissa Furet, Theo Johnson-Freyd

We calculate the ground state degeneracies of all twisted sectors in the "Conway Moonshine'' holomorphic SCFT . We find that almost all sectors have ground states of…

math-ph2015

Heisenberg-picture quantum field theory

Theo Johnson-Freyd

What we should mean by "Heisenberg-picture quantum field theory"? Atiyah--Segal-type axioms do a good job of capturing the "Schrödinger picture": these axioms define a "-dimensi…

math-ph2015★ 12 cited

Spin, statistics, orientations, unitarity

Theo Johnson-Freyd

A topological quantum field theory is Hermitian if it is both oriented and complex-valued, and orientation-reversal agrees with complex-conjugation. A field theory satisfies spin-s…

math-ph2013

"A combinatorial universal -product" is incorrect

Theo Johnson-Freyd

A very short note, explaining the error in the original paper, which renders its central result incorrect.

math-ph2013

Poisson AKSZ theories and their quantizations

Theo Johnson-Freyd

We generalize the AKSZ construction of topological field theories to allow the target manifolds to have possibly-degenerate (homotopy) Poisson structures. Classical AKSZ theories,…

math-ph2012★ 10 cited

Homological perturbation theory for nonperturbative integrals

Theo Johnson-Freyd

We use the homological perturbation lemma to produce explicit formulas computing the class in the twisted de Rham complex represented by an arbitrary polynomial. This is a non-asym…

math-ph2012

How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism

Owen Gwilliam, Theo Johnson-Freyd

The Batalin-Vilkovisky formalism in quantum field theory was originally invented to address the difficult problem of finding diagrammatic descriptions of oscillating integrals with…

math-ph2010★ 4 cited

On the coordinate (in)dependence of the formal path integral

Theo Johnson-Freyd

When path integrals are discussed in quantum field theory, it is almost always assumed that the fields take values in a vector bundle. When the fields are instead valued in a possi…

math-ph2010★ 8 cited

Feynman-diagrammatic description of the asymptotics of the time evolution operator in quantum mechanics

Theo Johnson-Freyd

We describe the "Feynman diagram" approach to nonrelativistic quantum mechanics on R^n, with magnetic and potential terms. In particular, for each classical path γconnecting points…