Amphitheatre of Interdisciplinary Complex at the University of Lisbon

Paul Norbury, Adelaide University
Boundary algebras of hyperbolic monopoles

We prove the conjecture that a monopole in hyperbolic space can be completely determined by its “holographic image” on the conformal boundary two-sphere. The main tool used is an $n$-point function defined for a given monopole and any ordered collection of points on the conformal boundary two-sphere. The n-point function can be used to define structure coefficients of an interesting associative algebra abstractly generated by points of the conformal boundary two-sphere.