A Gaussian weave for kinematical loop quantum gravity

Remarkable efforts in the study of the semiclassical regime of kinematical loop quantum gravity are currently underway. In this note, we construct a " quasicoherent" weave state using Gaussian factors. In a similar fashion to some other proposals, this state is peaked in both the connection and the s pin network basis. However, the state constructed here has the novel featur e that, in the spin network basis, the main contribution for this state is given by the fundamental representation, independently of the value of the parameter that regulates the Gaussian width.