Title:  "Two- and Three-Dimensional Spin Liquid and Interacting Majorana Systems"

Abstract: We examine the Hubbard model on pyrochlore-type lattices and illustrate how spin liquid features arise at an exactly solvable point and its surroundings. We further introduce a framework for dualities and with its aid demonstrate that interacting Majorana nanowire systems as well as direction dependent Hubbard type and other general planar systems display various transitions.