Abstract
Abstract In a formal expansion in powers of T, m1, and m2 it is shown that the correlation functions of the non-linear σ-model with unitary symplectic symmetry Sp(m1 + m2)/Sp(m1) × Sp(m2) at temperature T equal (apart from an overall factor) the correlations of the model with orthogonal symmetry O(−2m1 −2m2)/O(−2m1) × O(−2m2) at temperature − 1 2 T . Similarly the non-linear σ-model with unitary symmetry U(m1 + m2)/U(m1) × U(m2) yields correlations which are invariant under a simulatenous change of sign of T, m1, and m2.
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