On finite-size spiky strings in AdS3\xd7 S3\xd7 T4 with mixed fluxes

Abstract

We discuss finite-size corrections to the spiky strings in AdS space which is dual to the long \U0001d4a9 = 4 SYM operators of the form Tr( {varDelta}_{+}^{J_1}{phi}_1{varDelta}_{+}^{J_2}{phi}_2dots {varDelta}_{+}^{J_n}{phi}_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.