One-loop correction to the energy of a wavy line string in AdS_5

TL;DR

This paper calculates one-loop quantum corrections to the energy of a string with a wavy boundary in AdS_5, linking it to Wilson line expectations and the strong-coupling expansion of a specific function.

Contribution

It provides the first detailed computation of one-loop corrections for a wavy string in AdS_5 and relates these to Wilson line observables and the function B(λ).

Findings

One-loop energy correction is linked to the subleading term in B(λ).

The effective action for small transverse fluctuations is computed.

Results confirm the theoretical connection between string corrections and Wilson line behavior.

Abstract

We consider a computation of one-loop AdS_5 x S^5 superstring correction to the energy radiated by the end-point of a string which moves along a wavy line at the boundary of AdS_5 with a small transverse acceleration (the corresponding classical solution was described by Mikhailov in hep-th/0305196). We also compute the one-loop effective action for an arbitrary small transverse string fluctuation background. It is related by an analytic continuation to the Euclidean effective action describing one-loop correction to the expectation value of a wavy Wilson line. We show that both the one-loop contribution to the energy and to the Wilson line are controlled by the subleading term in the strong-coupling expansion of the function B(\lambda) as suggested by Correa, Henn, Maldacena and Sever in arXiv:1202.4455.