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AdS₃/CFT₂ and integrability

I will review recent progress in computing the exact spectrum of closed strings in AdS3/CFT2 using integrability. The spectrum is determined through a set of all-loop Bethe Equations, from which one can find, for example, the protected closed string states and compare with supergravity results, finding some surprises along the way.I will show how the moduli present in these backgrounds can be incorporated into the integrable construction, paying particular attention to the pure NSNS theory.