TY - JOUR
T1 - Integrability of classical strings dual for noncommutative gauge theories
AU - Matsumoto, Takuya
AU - Yoshida, Kentaroh
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS5 × S5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical Yang-Baxter equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, the gravity duals are shown to be integrable deformations of AdS5 × S5. Then, abelian twists of AdS5 are also investigated. These results provide a support for the gravity/CYBE correspondence proposed in arXiv:1404.1838.
AB - We derive the gravity duals of noncommutative gauge theories from the Yang-Baxter sigma model description of the AdS5 × S5 superstring with classical r-matrices. The corresponding classical r-matrices are 1) solutions of the classical Yang-Baxter equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, the gravity duals are shown to be integrable deformations of AdS5 × S5. Then, abelian twists of AdS5 are also investigated. These results provide a support for the gravity/CYBE correspondence proposed in arXiv:1404.1838.
KW - AdS-CFT Correspondence
KW - Integrable Field Theories
KW - Non-Commutative Geometry
KW - Sigma Models
UR - http://www.scopus.com/inward/record.url?scp=84904301874&partnerID=8YFLogxK
U2 - 10.1007/JHEP06(2014)163
DO - 10.1007/JHEP06(2014)163
M3 - Article
AN - SCOPUS:84904301874
SN - 1126-6708
VL - 2014
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 6
M1 - 163
ER -