All Outputs (4)

BV quantization of dynamical fuzzy spectral triples (2022)
Journal Article
Gaunt, J., Nguyen, H., & Schenkel, A. (2022). BV quantization of dynamical fuzzy spectral triples. Journal of Physics A: Mathematical and Theoretical, 55(47), Article 474004. https://doi.org/10.1088/1751-8121/aca44f

This paper provides a systematic study of gauge symmetries in the dynamical fuzzy spectral triple models for quantum gravity that have been proposed by Barrett and collaborators. We develop both the classical and the perturbative quantum BV formalism... Read More about BV quantization of dynamical fuzzy spectral triples.

A Skeletal Model for 2d Conformal AQFTs (2022)
Journal Article
Benini, M., Giorgetti, L., & Schenkel, A. (2022). A Skeletal Model for 2d Conformal AQFTs. Communications in Mathematical Physics, 395(1), 269-298. https://doi.org/10.1007/s00220-022-04428-4

A simple model for the localization of the category CLoc2 of oriented and time-oriented globally hyperbolic conformal Lorentzian 2-manifolds at all Cauchy morphisms is constructed. This provides an equivalent description of 2-dimensional conformal al... Read More about A Skeletal Model for 2d Conformal AQFTs.

Relative Cauchy Evolution for Linear Homotopy AQFTs (2022)
Journal Article
Bruinsma, S., Fewster, C. J., & Schenkel, A. (2022). Relative Cauchy Evolution for Linear Homotopy AQFTs. Communications in Mathematical Physics, 392(2), 621-657. https://doi.org/10.1007/s00220-022-04352-7

This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation quantization of Poisson chain complexes. The key element of the construc... Read More about Relative Cauchy Evolution for Linear Homotopy AQFTs.

Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories (2022)
Journal Article
Benini, M., Schenkel, A., & Vicedo, B. (2022). Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories. Communications in Mathematical Physics, 389, 1417-1443. https://doi.org/10.1007/s00220-021-04304-7

This paper provides a detailed study of 4-dimensional Chern-Simons theory on R2× CP1 for an arbitrary meromorphic 1-form ω on CP1. Using techniques from homotopy theory, the behaviour under finite gauge transformations of a suitably regularised versi... Read More about Homotopical Analysis of 4d Chern-Simons Theory and Integrable Field Theories.