Superstring Partition Functions in AdS3

I will describe the one-loop partition function for strings propagating on AdS3 geometries with NS-NS flux (for generic values of AdS radius in string units). The essential ingredients that go into this analysis have been known for a while. The goal will be to organize the result to facilitate comparison to semiclassical gravity. I will illustrate the match with the low-lying supergravity spectrum, and highlight subtleties that arise along the way.