  The SYK model has a wormhole-like solution after averaging over the fermionic
couplings in the nearly $AdS_2$ space. Even when the couplings are fixed the
contribution of these wormholes continues to exist and new saddle points appear
which are interpreted as "half-wormholes". In this paper, we will study the
fate of these wormholes in a model without quenched disorder namely a tensor
model with $O(N)^{q-1}$ gauge symmetry whose correlation function and
thermodynamics in the large $N$ limit are the same as that of the SYK model. We
will restate the factorization problem linked with the wormhole threaded Wilson
operator, in terms of global charges or non-trivial cobordism classes
associated with disconnected wormholes. Therefore for the partition function to
factorize especially at short distances, there must exist certain topological
defects which break the global symmetry associated with wormholes and make the
theory devoid of global symmetries. We will interpret these wormholes with
added topological defects as our "half-wormholes". We will also comment on the
late time behavior of the spectral form factor, particularly its leading and
sub-leading order contributions coming from higher genus wormholes in the
gravitational sector. Finally we will show how, the other non-trivial saddles
from "half-wormhole" dominate and give rise to unusual thermodynamics in the
bulk sector due to non-perturbative effects.
