arXiv subjects

Joseph Conlon

Publications and source records attributed to Joseph Conlon.

2 recordsLinked to original sources

arXiv2025

Evolution of Generic Varying-Tension Cosmic Strings in Expanding Spacetimes

It has recently been realised that strings with time-dependent tensions exhibit interesting dynamics; in particular, when the tension decreases loops of string can grow and possibly percolate. We extend previous analytic studies of strings with time-dependent tensions to numerical studies of non-circular loops. We show that the dynamics of a varying-tension string in expanding universe is mathematically equivalent to the evolution of a fixed-tension string in a universe with a modified scale factor. We use numerical solvers and machine learning techniques to explore the dynamics of non-circular string loops with radii close to the Hubble scale.

hep-th↗

arXiv2002

Field Identifications for Interacting Bosonic Models in N=2 Superconformal Field Theory

We study a family of interacting bosonic representations of the N=2 superconformal algebra. These models can be tensored with a conjugate theory to give the free theory. We explain how to use free fields to study interacting fields and their dimensions, and how we may identify different free fields as representing the same interacting field. We show how a lattice of identifying fields may be built up and how every free field may be reduced to a standard form, thus permitting the resolution of the spectrum. We explain how to build the extended algebra and show that there are a finite number of primary fields for this algebra for any of the models. We illustrate this by studying an example.

hep-th↗