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We confirm the non-integrability of the multi-deformed Ising Model, analready expected result. After deforming with the energy operator $\phi_{1,3}$we use the Majorana free fermionic representation for the massive theory toshow that, besides the trivial one, no local integrals of motion can be builtin the theory arising from perturbing with both energy and spin operators.Comment: 6 pages, latex, one reference adde

NON-EXISTENCE OF LOCAL INTEGRALS OF MOTION IN THE MULTI-DEFORMED ISING MODEL