Exact computation of one-loop correction to the energy of pulsating strings in AdS5 × S5

Abstract

In this paper, which is a sequel to Beccaria et al (2010 J. Phys. A: Math. Theor. 43 165402), we compute the one-loop correction to the energy of pulsating string solutions in AdS5 × S5. We show that, as for rigid spinning string elliptic solutions, the fluctuation operators for pulsating solutions can also be put into the single-gap Lamé form. A novel aspect of pulsating solutions is that the one-loop correction to their energy is expressed in terms of the stability angles of the quadratic fluctuation operators. We explicitly study the ‘short-string’ limit of the corresponding one-loop energies, demonstrating a certain universality of the form of the energy of ‘small’ semiclassical strings. Our results may help to shed light on the structure of strong-coupling expansion of anomalous dimensions of dual gauge theory operators.