Double-Layer Quantum Hall Antiferromagnetism at Filling Fractionν=2/mwheremis an Odd Integer

A low energy action for double-layer quantum Hall systems at filling fractions $\nu =2\mathrm{}/m$ (where $m$ is an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, as well as a spin-singlet phase. Universal properties of zero and finite temperature transitions are obtained. We compute the critical temperature at which the canted order vanishes in a Kosterlitz-Thouless transition. Implications for recent light scattering experiments at $\nu =2\mathrm{}$ are noted.