7 papers
Multivariate Multicycle Codes for Complete Single-Shot Decoding
Feroz Ahmed Mian, Owen Gwilliam, Stefan Krastanov
We introduce multivariate multicycle (MM) codes, a new family of quantum error-correcting codes (QECCs) that unifies bivariate bicycle, multivariate bicycle, abelian two-block grou…
Duality of generalized Maxwell theories as an equivalence in derived geometry
Chris Elliott, Owen Gwilliam, Ingmar Saberi +1
We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synt…
Chern-Simons factorization algebras and knot polynomials
Kevin Costello, John Francis, Owen Gwilliam
This work identifies the Reshetikhin-Turaev invariant of links in terms of a trace map on factorization homology. In particular, to recover the knot invariants associated to Chern-…
Twists of superconformal algebras
Chris Elliott, Owen Gwilliam, Matteo Lotito
We take first steps toward a theory of ``conformal twists'' for superconformal field theories in dimension 3 to 6, extending the well-known analysis of twists for supersymmetric th…
Holomorphic field theories and higher algebra
Owen Gwilliam, Brian R. Williams
Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogues of the rich interplay between Riemann surfaces, Virasoro and Kac-Moody Li…
Spontaneous symmetry breaking: a view from derived geometry
Chris Elliott, Owen Gwilliam
We examine symmetry breaking in field theory within the framework of derived geometry, as applied to field theory via the Batalin-Vilkovisky formalism. Our emphasis is on the stand…