On finite-size spiky strings in AdS 3 × S 3 × T 4 with mixed fluxes

Abstract

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( Δ + J 1 ϕ 1 Δ + J 2 ϕ 2 … Δ + J n ϕ n $$ {\varDelta}_{+}^{J_1}{\phi}_1{\varDelta}_{+}^{J_2}{\phi}_2\dots {\varDelta}_{+}^{J_n}{\phi}_n $$ ). 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.

Keywords

• AdS-CFT Correspondence
• Bosonic Strings
• Long strings