  We introduce the concept of super universality in quantum Hall and spin
liquids which has emerged from previous studies. It states that all the
fundamental features of the quantum Hall effect are generically displayed as
general topological features of the $\theta$ parameter in nonlinear sigma
models in two dimensions. To establish super universality in spin liquids we
revisit the mapping by Haldane who argued that the anti ferromagnetic
Heisenberg spin $s$ chain is effectively described by the O(3) nonlinear sigma
model with a $\theta$ term. By combining the path integral representation for
the dimerized spin $s=1/2$ chain with renormalization group decimation
techniques we generalise the Haldane approach to include a more complicated
theory, the fermionic rotor chain, involving four different renormalization
group parameters. We show how the renormalization group calculation technique
can be used to lay the bridge between the fermionic rotor chain and the sigma
model. As an integral and fundamental aspect of the mapping we establish the
topological significance of the dangling spin at the edge of the chain which is
in all respects identical to the massless chiral edge excitations in quantum
Hall liquids. We consider various different geometries of the spin chain and
show that for each of the different geometries correspond to a topologically
equivalent quantum Hall liquid.
