Eliminating ambiguities for quantum corrections to strings moving in $AdS_4\times \mathbb{CP}^3$

TL;DR

This paper applies a physical principle to resolve ambiguities in quantum corrections for spinning strings in AdS4×CP3, confirming results consistent with AdS/CFT and establishing a method applicable to other string solitons.

Contribution

It introduces a new approach to eliminate ambiguities in quantum corrections for string solutions, strengthening the theoretical foundation of previous calculations in AdS/CFT.

Findings

Ambiguities in quantum corrections are resolved using the proposed principle.

Results align with AdS/CFT predictions.

Method applicable to other classical string solitons.

Abstract

We apply a physical principle, previously used to eliminate ambiguities in quantum corrections to the 2 dimensional kink, to the case of spinning strings moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two dimensional soliton. We find that this eliminates the ambiguities and selects the result compatible with AdS/CFT, providing a solid foundation for one of the previous calculations, which found agreement. The method can be applied to other classical string "solitons".