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Quantum strings and the AdS4/CFT3 interpolating function

Quantum strings and the AdS4/CFT3 interpolating function
Quantum strings and the AdS4/CFT3 interpolating function
The existence of a nontrivial interpolating function h(λ) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS 4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(λ) = √λ/2+c+… . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP 3 sector. We then turn to finite-J effects, where a comparison with the Lüscher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.
1029-8479
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Bombardelli, Diego
1c131213-81c0-462d-acd6-778f5880dc45
Abbott, Michael C.
7766a6bf-6b30-449c-b047-21a05897f6bb
Aniceto, Ines
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Bombardelli, Diego
1c131213-81c0-462d-acd6-778f5880dc45

Abbott, Michael C., Aniceto, Ines and Bombardelli, Diego (2010) Quantum strings and the AdS4/CFT3 interpolating function. The Journal of High Energy Physics, 2010 (40). (doi:10.1007/JHEP12(2010)040).

Record type: Article

Abstract

The existence of a nontrivial interpolating function h(λ) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS 4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(λ) = √λ/2+c+… . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP 3 sector. We then turn to finite-J effects, where a comparison with the Lüscher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

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Quantum strings and the AdS4 CFT3 interpolating function - Accepted Manuscript
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e-pub ahead of print date: 9 December 2010
Published date: December 2010

Identifiers

Local EPrints ID: 425733
URI: https://eprints.soton.ac.uk/id/eprint/425733
ISSN: 1029-8479
PURE UUID: 2de2278f-42e2-496b-8fc2-017d3d8fb469

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Date deposited: 02 Nov 2018 17:30
Last modified: 13 Mar 2019 17:53

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