Abstract
All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary conditions, from which we derive these Bethe equations. Although the undeformed S-matrix factorizes into a product of two su(2|2) factors, the deformed S-matrix cannot be so factored. Diagonalization of the corresponding transfer matrix requires a generalization of the conventional algebraic Bethe ansatz approach, which we first illustrate for the simpler case of the twisted su(2) principal chiral model. We also demonstrate that the transfer matrix is spectrally equivalent to a transfer matrix which is constructed using instead untwisted S-matrices and boundary conditions with operatorial twists.
| Original language | English (US) |
|---|---|
| Article number | 027 |
| Journal | Journal of High Energy Physics |
| Volume | 2011 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2011 |
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Keywords
- AdS-CFT correspondence
- Bethe ansatz
- Exact S-matrix
- Lattice integrable models
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Twisted Bethe equations from a twisted S-matrix. / Ahn, Changrim; Bajnok, Zoltan; Bombardelli, Diego; Nepomechie, Rafael.
In: Journal of High Energy Physics, Vol. 2011, No. 2, 027, 2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Twisted Bethe equations from a twisted S-matrix
AU - Ahn, Changrim
AU - Bajnok, Zoltan
AU - Bombardelli, Diego
AU - Nepomechie, Rafael
PY - 2011
Y1 - 2011
N2 - All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary conditions, from which we derive these Bethe equations. Although the undeformed S-matrix factorizes into a product of two su(2|2) factors, the deformed S-matrix cannot be so factored. Diagonalization of the corresponding transfer matrix requires a generalization of the conventional algebraic Bethe ansatz approach, which we first illustrate for the simpler case of the twisted su(2) principal chiral model. We also demonstrate that the transfer matrix is spectrally equivalent to a transfer matrix which is constructed using instead untwisted S-matrices and boundary conditions with operatorial twists.
AB - All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary conditions, from which we derive these Bethe equations. Although the undeformed S-matrix factorizes into a product of two su(2|2) factors, the deformed S-matrix cannot be so factored. Diagonalization of the corresponding transfer matrix requires a generalization of the conventional algebraic Bethe ansatz approach, which we first illustrate for the simpler case of the twisted su(2) principal chiral model. We also demonstrate that the transfer matrix is spectrally equivalent to a transfer matrix which is constructed using instead untwisted S-matrices and boundary conditions with operatorial twists.
KW - AdS-CFT correspondence
KW - Bethe ansatz
KW - Exact S-matrix
KW - Lattice integrable models
UR - http://www.scopus.com/inward/record.url?scp=79956153625&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79956153625&partnerID=8YFLogxK
U2 - 10.1007/JHEP02(2011)027
DO - 10.1007/JHEP02(2011)027
M3 - Article
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 2
M1 - 027
ER -