Finite-size effects of β-deformed AdS 5/CFT 4 at strong coupling

Changrim Ahn; Diego Bombardelli; Minkyoo Kim

doi:10.1016/j.physletb.2012.03.001

Finite-size effects of β-deformed AdS ₅/CFT ₄ at strong coupling

Changrim Ahn, Diego Bombardelli, Minkyoo Kim

Department of Physics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-matrix conjectured for the deformed theory, we generalize the Lüscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.

Original language	English
Pages (from-to)	467-471
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	710
Issue number	3
DOIs	https://doi.org/10.1016/j.physletb.2012.03.001
State	Published - 12 Apr 2012

Bibliographical note

Funding Information:
This work was supported in part by the WCU Grant No. R32-2008-000-101300 (C.A.), the FCT fellowship SFRH/BPD/69813/2010 (D.B.), and by the NRF Grant No. 2005-0049409 (M.K.).

Funding Information:
We would like to thank Inês Aniceto and Sergey Frolov for useful discussions and APCTP for the warm hospitality during the completion of this work. D.B. is also grateful to IEU for travel financial support and generous hospitality.

Access to Document

10.1016/j.physletb.2012.03.001

Cite this

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title = "Finite-size effects of β-deformed AdS 5/CFT 4 at strong coupling",

abstract = "We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-matrix conjectured for the deformed theory, we generalize the L{\"u}scher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.",

author = "Changrim Ahn and Diego Bombardelli and Minkyoo Kim",

note = "Funding Information: This work was supported in part by the WCU Grant No. R32-2008-000-101300 (C.A.), the FCT fellowship SFRH/BPD/69813/2010 (D.B.), and by the NRF Grant No. 2005-0049409 (M.K.). Funding Information: We would like to thank In{\^e}s Aniceto and Sergey Frolov for useful discussions and APCTP for the warm hospitality during the completion of this work. D.B. is also grateful to IEU for travel financial support and generous hospitality. ",

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AB - We compute both classical and quantum finite-size corrections at leading order in the strong coupling limit for the (dyonic) giant magnon in the Lunin-Maldacena background. Based on the exact S-matrix conjectured for the deformed theory, we generalize the Lüscher formula to include twisted boundary conditions and show that the results match with those derived both by finite-size classical solutions of the giant magnon and by algebraic curve analysis.

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