Publications (13)
Chern-Simons action for zero-mode supporting gauge fields in three dimensions
C. Adam, B. Muratori, C. Nash
Recent results on zero modes of the Abelian Dirac operator in three dimensions support to some degree the conjecture that the Chern-Simons action admits only certain quantized valu…
Stochastic Parameterization of Column Physics using Generative Adversarial Networks
B. T. Nadiga, X. Sun, C. Nash
We demonstrate the use of a probabilistic machine learning technique to develop stochastic parameterizations of atmospheric column-physics. After suitable preprocessing of NASA's M…
On non- solutions to the Seiberg-Witten equations
C. Adam, B. Muratori, C. Nash
We show that a previous paper of Freund describing a solution to the Seiberg-Witten equations has a sign error rendering it a solution to a related but different set of equations.…
The Standard Model Fermion Spectrum From Complex Projective spaces
Brian P. Dolan, C. Nash
It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of com…
Chiral Fermions and Spinc structures on Matrix approximations to manifolds
Brian P. Dolan, C. Nash
The Atiyah-Singer index theorem is investigated on various compact manifolds which admit finite matrix approximations (``fuzzy spaces'') with a view to applications in a modified K…
Particle creation via relaxing hypermagnetic knots
C. Adam, B. Muratori, C. Nash
We demonstrate that particle production for fermions coupled chirally to an Abelian gauge field like the hypercharge field is provided by the microscopic mechanism of level crossin…