Holonomy invariants in strict higher gauge theory have been studied in depth aiming to applications to higher Chern–Simons theory. For a flat 2–connection, the holonomy of surface knots of arbitrary genus has been defined and its covariance properties under 1–gauge transformation and change of base data have been determined. Using quandle theory, a definition of trace over a crossed module such to yield surface knot invariants upon application to 2–holonomies has been given.
Wilson Surfaces for Surface Knots: A Field Theoretic Route to Higher Knots / Roberto Zucchini. - ELETTRONICO. - 67:8 - 9(2019), pp. 1910026.1-1910026.13. (Intervento presentato al convegno LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory tenutosi a Durham nel 12 - 18 August 2018) [10.1002/prop.201910026].
Wilson Surfaces for Surface Knots: A Field Theoretic Route to Higher Knots
Roberto Zucchini
2019
Abstract
Holonomy invariants in strict higher gauge theory have been studied in depth aiming to applications to higher Chern–Simons theory. For a flat 2–connection, the holonomy of surface knots of arbitrary genus has been defined and its covariance properties under 1–gauge transformation and change of base data have been determined. Using quandle theory, a definition of trace over a crossed module such to yield surface knot invariants upon application to 2–holonomies has been given.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
