Semiclassical folded string in AdS4 X CP3

TL;DR

This paper studies a semiclassical folded string solution in AdS4 x CP3, quantizes it using algebraic curve methods, and provides a comprehensive analysis of its energy corrections relevant to the dual ABJM theory.

Contribution

It introduces a novel semiclassical correction calculation for folded strings in AdS4 x CP3 using algebraic curves, extending understanding of string energies in this background.

Findings

Derived the first semiclassical energy correction for the folded string.

Provided an integral representation valid for all charge values.

Analyzed short and long string regimes with analytical expansions.

Abstract

We consider type IIA superstring theory on the background AdS4 x CP3, and the classical solution describing a folded string spinning in AdS4 with angular momentum in CP3. In the 't Hooft limit, it is the gravity dual of twist operators in the ABJM superconformal theory. We quantize the classical solution by algebraic curve methods and determine the first semiclassical correction to the energy. We provide an integral representation for this quantity valid for all values of the charges. We analyze its properties in the special regimes associated with a short or long string providing various accurate analytical expansions. Finally, we investigate various properties of the so-called slope, the leading term of the energy for short strings, collecting information that could be useful in attempts to generalize the exact results recently proposed for the folded string in AdS5 x S5.