TY - JOUR
T1 - Embedding the modified CYBE in supergravity
AU - Araujo, Thiago
AU - Colgáin, Eoin
AU - Yavartanoo, Hossein
N1 - Publisher Copyright:
© 2018, The Author(s).
PY - 2018/10/1
Y1 - 2018/10/1
N2 - It has recently been demonstrated that given a generic solution, the Classical Yang–Baxter Equation (CYBE) emerges from supergravity via the open-closed string map, thus providing tangible evidence for the conjectured equivalence between supergravity equations of motion and the homogeneous CYBE. To date, study of this equivalence has largely been confined to the NS sector. In this work, we make two extensions. First, we revisit the transformation of the RR sector and clarify its precise role in the emergence of the CYBE. Secondly, we identify direct products of coset geometries as the only setting where the transformation permits embeddings of the modified CYBE. We illustrate our solution generating technique with deformations of AdS3× S3× M4, where M4= T4 (K3) and S3× S1, and explicitly construct one and two-parameter integrable q-deformations that are solutions to generalised supergravity.
AB - It has recently been demonstrated that given a generic solution, the Classical Yang–Baxter Equation (CYBE) emerges from supergravity via the open-closed string map, thus providing tangible evidence for the conjectured equivalence between supergravity equations of motion and the homogeneous CYBE. To date, study of this equivalence has largely been confined to the NS sector. In this work, we make two extensions. First, we revisit the transformation of the RR sector and clarify its precise role in the emergence of the CYBE. Secondly, we identify direct products of coset geometries as the only setting where the transformation permits embeddings of the modified CYBE. We illustrate our solution generating technique with deformations of AdS3× S3× M4, where M4= T4 (K3) and S3× S1, and explicitly construct one and two-parameter integrable q-deformations that are solutions to generalised supergravity.
UR - http://www.scopus.com/inward/record.url?scp=85056128556&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-018-6335-6
DO - 10.1140/epjc/s10052-018-6335-6
M3 - Article
AN - SCOPUS:85056128556
SN - 1434-6044
VL - 78
JO - European Physical Journal C
JF - European Physical Journal C
IS - 10
M1 - 854
ER -