We investigate the stability of the super-KMS property under deformations. We show that a family of continuous deformations of the superderivation in the quantum algebra yields a continuous family of deformed super-KMS functionals. These functionals define a family of cohomologous, entire cocycles.

We construct a non-commutative (C*-algebra C μ (U) which is a quantum deformation of the algebra of continuous functions on the closed unit disc U. C μ (ΰ) is generated by the Toeplitz operators on a suitable Hubert space of holomorphic functions on U.

No abstract

Using a rigorous version of the renormalization group we construct the effective action for the Y 2 model. The construction starts with integrating out the bosonic field which eliminates the large fields problem. Studying the soobtained purely fermionic theory proceeds by a series of convergent perturbation expansions. We show that the continuum limit of the effective action exists and its perturbation expansion is Borel summable.

No abstract