Algebro-analytic study of quantum integrable systems

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In the space of local operators of quantum integrable systems, we have introduced a new fermionic basis and described their expectation values. More specifically, in the 6 vertex model we defined an action of fermions on quasi-local operators, and in a very general setting expressed their expectation values of the fermionic basis in terms of a single function of two variables. In the limit to conformal field theory we determined the relation between the fermionic and Virasoro bases for low degrees. We also proposed a novel framework for calculating the one point functions in the sine-Gordon model.