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We update the constraints on the time variation of the fine structureconstant $\alpha$ and the electron mass $m_e$, using the latest CMB data,including the 7-yr release of WMAP. We made statistical analyses of thevariation of each one of the constants and of their joint variation, togetherwith the basic set of cosmological parameters. We used a modified version ofCAMB and COSMOMC to account for these possible variations. We present bounds onthe variation of the constants for different data sets, and show how resultsdepend on them. When using the latest CMB data plus the power spectrum fromSloan Digital Sky Survey LRG, we find that $\alpha / \alpha_0=0.986 \pm 0.007$at 1-$\sigma$ level, when the 6 basic cosmological parameters were fitted, andonly variation in $\alpha$ was allowed. The constraints in the case ofvariation in both constants are $ \alpha / \alpha_0= 0.986 \pm 0.009$ and $m_e/ m_{e0} = 0.999 \pm 0.035$. In the case of only variation in $m_e$, the boundis $m_e /m_{e0}=0.964 \pm 0.025$.

Constraints on variation in $\alpha$ and $m_e$ from WMAP 7-year data