Exact computation of one-loop correction to the energy of pulsating strings in AdS sub(5) x S super(5)

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 AdS sub(5) x S super(5). We show that, as for rigid spinning string elliptic solutions, the fluctuation operators for pulsat...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-01, Vol.44 (1), p.1-45
Main Authors: Beccaria, M, Dunne, G V, Macorini, G, Tirziu, A, Tseytlin, A A
Format: Article
Language:English
Subjects:
Energy of formation
Fluctuation
Gauge theory
Mathematical models
Operators
Sheds
Stability
Strings
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Summary: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 AdS sub(5) x S super(5). We show that, as for rigid spinning string elliptic solutions, the fluctuation operators for pulsating solutions can also be put into the single-gap Lame 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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/44/1/015404