Pulsating strings from two dimensional CFT on $(T^4)^N/S(N)$

TL;DR

This paper proposes a duality between pulsating strings in AdS3 and specific states in a 2D orbifold CFT, demonstrating matching energy dependence up to first order in deformation, revealing insights into string/CFT correspondence.

Contribution

It introduces a new dual description for pulsating strings using states in the orbifold CFT and analyzes energy dependence with respect to coupling and mode number.

Findings

Energy dependence matches between string and CFT descriptions at first order.

The dual CFT state captures pulsating string dynamics.

Non-trivial coupling dependence in energy calculations.

Abstract

We propose a state from the two-dimensional conformal field theory on the orbifold $(T^4)^N/S(N)$ as a dual description for a pulsating string moving in $AdS_3$. We show that, up to first order in the deforming parameter, the energy in both descriptions has the same dependence on the mode number, but with a non-trivial function of the coupling.