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The symplectic Sp(N)/Sp(p)×Sp(N-p) non-linear σ model is studied in 2+ε dimensions and in 1/N expansion. It is shown that the critical exponents are identical to the corresponding expressions for O(-2N)/O(-2p)×O(-2N+2p) non-linear σ model. The β-functions are determined up to three-loop order for orthogonal and symplectic models.
S. Hikami (Wed,) studied this question.