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Precision test of AdS/CFT in Lunin-Maldacena background

Heng-Yu Chen, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2006, Issue: 03, Pages: 051 - 051

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2006/03/051

Abstract

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are the β-deformed versions of the folded string solutions in AdS5 × S5 background. They correspond to certain single trace operator...

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Published in: Journal of High Energy Physics
Published: 2006
URI: https://cronfa.swan.ac.uk/Record/cronfa16149
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Abstract: We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are the β-deformed versions of the folded string solutions in AdS5 × S5 background. They correspond to certain single trace operators in the N = 1 superconformal β deformation of N = 4 Yang-Mills. We calculate the one loop anomalous dimension for the dual single trace operators from the associated twisted spin chain with a general two-cut distribution of Bethe roots. Our results show a striking match between the two calculations. We demonstrate the natural identification of parameters on the two sides of the analysis, and explain the significance of the Virasoro constraint associated with the winding motion of semiclassical strings from the perspective of the spin chain solution.
College: Faculty of Science and Engineering
Issue: 03
Start Page: 051
End Page: 051