Is it possible to calculate standard deviation from d (effect size)? How do you do it?

I am doing a meta-analysis and one of the papers report d instead of SD. I do also have sample size and mean for each group, but I don't have the SD for each group.

A bit of simple algebra should suffice here.

Let $$X_1$$ and $$X_2$$ be the means which you say you have, $$d$$ be Cohen's $$c$$ and $$s$$ be the pooled standard deviation.

$$d = \frac{X_1 - X_2}{s}$$

Multiply both sides by $$s$$

$$s * d = X_1 - X_2$$

Now divide both sides by $$d$$

$$s = \frac{X_1 - X_2}{d}$$

which is the desired result.

Note that this is more complex if what they are reporting is not in fact Cohen's $$d$$ but the bias corrected version usually known as Hedges' $$g$$.