Exact S-matrices for AdS3/CFT2

Changrim Ahn; Diego Bombardelli

doi:10.1142/S0217751X13501686

Exact S-matrices for AdS₃/CFT₂

Changrim Ahn, Diego Bombardelli

Department of Physics

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

34 Scopus citations

Abstract

We propose exact S-matrices for the AdS₃/CFT₂ duality between type IIB strings on AdS₃×S³×M ₄ with M₄ = S³×S¹ or T ⁴ and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys. 1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys. 1108, 029 (2011), arXiv:1106.2558 [hep-th]].

Original language	English
Article number	1350168
Journal	International Journal of Modern Physics A
Volume	28
Issue number	32
DOIs	https://doi.org/10.1142/S0217751X13501686
State	Published - 30 Dec 2013

Bibliographical note

Funding Information:
We would like to thank K. Zarembo for useful comments. C. Ahn thanks the Centro de Física do Porto (CFP) at the University of Porto for the warm hospitality. D. Bombardelli is grateful to D. Fioravanti, S. Piscaglia and M. Rossi for useful discussions and collaboration on related topics. This work was supported in part by the WCU Grant No. R32-2008-000-101300 and the Research fund No. 1-2008-2935-001-2 by Ewha Womans University (C. Ahn) and the FCT fellowship SFRH/BPD/69813/2010 (D. Bombardelli). CFP is partially funded by FCT through the projects PTDC/FIS/099293/2008 and CERN/FP/116358/2010.

Keywords

AdS/CFT
Bethe ansatz
S-matrices

Access to Document

10.1142/S0217751X13501686

Cite this

@article{557e1dea728a45adbbc60e46938a7c3a,

title = "Exact S-matrices for AdS3/CFT2",

abstract = "We propose exact S-matrices for the AdS3/CFT2 duality between type IIB strings on AdS3×S3×M 4 with M4 = S3×S1 or T 4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys. 1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys. 1108, 029 (2011), arXiv:1106.2558 [hep-th]].",

keywords = "AdS/CFT, Bethe ansatz, S-matrices",

author = "Changrim Ahn and Diego Bombardelli",

note = "Funding Information: We would like to thank K. Zarembo for useful comments. C. Ahn thanks the Centro de F{\'i}sica do Porto (CFP) at the University of Porto for the warm hospitality. D. Bombardelli is grateful to D. Fioravanti, S. Piscaglia and M. Rossi for useful discussions and collaboration on related topics. This work was supported in part by the WCU Grant No. R32-2008-000-101300 and the Research fund No. 1-2008-2935-001-2 by Ewha Womans University (C. Ahn) and the FCT fellowship SFRH/BPD/69813/2010 (D. Bombardelli). CFP is partially funded by FCT through the projects PTDC/FIS/099293/2008 and CERN/FP/116358/2010.",

year = "2013",

month = dec,

day = "30",

doi = "10.1142/S0217751X13501686",

language = "English",

volume = "28",

journal = "International Journal of Modern Physics A",

issn = "0217-751X",

publisher = "World Scientific",

number = "32",

}

TY - JOUR

T1 - Exact S-matrices for AdS3/CFT2

AU - Ahn, Changrim

AU - Bombardelli, Diego

N1 - Funding Information: We would like to thank K. Zarembo for useful comments. C. Ahn thanks the Centro de Física do Porto (CFP) at the University of Porto for the warm hospitality. D. Bombardelli is grateful to D. Fioravanti, S. Piscaglia and M. Rossi for useful discussions and collaboration on related topics. This work was supported in part by the WCU Grant No. R32-2008-000-101300 and the Research fund No. 1-2008-2935-001-2 by Ewha Womans University (C. Ahn) and the FCT fellowship SFRH/BPD/69813/2010 (D. Bombardelli). CFP is partially funded by FCT through the projects PTDC/FIS/099293/2008 and CERN/FP/116358/2010.

PY - 2013/12/30

Y1 - 2013/12/30

N2 - We propose exact S-matrices for the AdS3/CFT2 duality between type IIB strings on AdS3×S3×M 4 with M4 = S3×S1 or T 4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys. 1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys. 1108, 029 (2011), arXiv:1106.2558 [hep-th]].

AB - We propose exact S-matrices for the AdS3/CFT2 duality between type IIB strings on AdS3×S3×M 4 with M4 = S3×S1 or T 4 and the corresponding two-dimensional conformal field theories. We fix the two-particle S-matrices on the basis of the symmetries su(1|1) and su(1|1)×su(1|1). A crucial justification comes from the derivation of the all-loop Bethe ansatz matching exactly the recent conjecture proposed by Babichenko et al. [J. High Energy Phys. 1003, 058 (2010), arXiv:0912.1723 [hep-th]] and Ohlsson Sax and Stefanski, Jr. [J. High Energy Phys. 1108, 029 (2011), arXiv:1106.2558 [hep-th]].

KW - AdS/CFT

KW - Bethe ansatz

KW - S-matrices

UR - http://www.scopus.com/inward/record.url?scp=84891843655&partnerID=8YFLogxK

U2 - 10.1142/S0217751X13501686

DO - 10.1142/S0217751X13501686

M3 - Article

AN - SCOPUS:84891843655

SN - 0217-751X

VL - 28

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 32

M1 - 1350168

ER -