Gautam Chaudhuri / Gallery / GMoM 2024

Here are some high resolution images and animations to accompany my poster for GMoM 2024. The poster itself can be downloaded here. You can inspect the Pluto notebook used to create these visualisations here.

Contents

  1. Critical Loci and Great Circles
  2. Geodesics
  3. Higgs Fields

Critical Loci and Great Circles

Figure 1: Critical loci and great circles for the square lattice
Figure 2: Critical loci and great circles for the equianharmonic lattice

Geodesics

Figure 3: Geodesics on the square lattice
Figure 4: Geodesics on the equianharmonic lattice

Higgs Fields

The following figures are contour plots of |ϕ|2{\left\vert\phi\right\vert}^2 for various geodesics. Contours are equally spaced at intervals of 0.5 with purple corresponding to the interval [0,0.5)\left[0, 0.5\right). The translucent black line is the zero locus of the Higgs field.