On finite-size spiky strings in AdS3 × S3 × T4 with mixed fluxes

Abstract

We discuss finite-size corrections to the spiky strings in AdS space which is dual to the long N = 4 SYM operators of the form Tr(∆ J 1 + φ 1 ∆ J 2 + φ 2. .. ∆ Jn + φ n). We express the finite-size dispersion relation in terms of Lambert W-function. We further establish the finite-size scaling relation between energy and angular momentum of the spiky string in presence of mixed fluxes in terms of W-function. We comment on the solution in pure NS-NS background as well.