2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18772We study a strongly correlated spin-1 Bose gas in 2D space by using the projective construction. A spin-disordered superfluid state is constructed and proposed as a candidate competing with the conventional polar condensate when interaction is antiferromagnetic. This novel state has a non-trivial topological order whose low energy excitations carry fractional spin, charge, and statistics. The spin excitations become gapless only at the edge and are described by level-1 SU(2) Kac-Moody algebra. The edge state is identical to the edge state of the chiral spin liquid or the right moving sector of spin-1/2 chain.5 pages. A new figure illustrates the entangled spin-disordered superfluid stateStrongly Correlated ElectronsStatistical Mechanicstext