ABJ quadrality

作者：Honda Masazumi^*; Pang Yi; Zhu Yaodong

来源：The Journal of High Energy Physics, 2017, 2017(11): 190.

DOI：10.1007/JHEP11(2017)190

• AdS-CFT Correspondence
• Chern-Simons Theories
• Higher Spin Gravity
• Higher Spin Symmetry

We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N = 6 superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS(1) x CP3 and N = 6 supersymmetric (SUSY) Vasiliev higher spin theory in AdS(4). After adding the orientifolds, it is known that the gauge group of the ABJ theory becomes O(N-1) x USp(2N(2)) while the background of the string theory is replaced by AdS(4) x CP3/Z(2) , and the supersymmetries in the both theories reduce to N = 5. We propose that adding the orientifolds to the N = 6 Vasiliev theory leads to N = 5 SUSY Vasiliev theory. It turns out that the N = 5 case is more involved because there are two formulations of the N = 5 Vasiliev theory with either O or USp internal symmetry. We show that the two N = 5 Vasiliev theories can be understood as certain projections of the N = 6 Vasiliev theory, which we identify with the orientifold projections in the Vasiliev theory. We conjecture th at the O(N-1) x USp(2N(2)) ABJ theory has the two vector model like limits: N-2 >> N-1 and N-1 >> N-2 which correspond to the semi-classical N = 5 Vasiliev theories with O(N-1) and USp(2N(2)) internal symmetries respectively. These correspondences together with the standard AdS/CFT correspondence comprise the ABJ quadrality among the N = 5 ABJ theory, string/M-theory and two N = 5 Vasliev theories. We provide a precise holographic dictionary for the correspondences by comparing correlation functions of stress tensor and flavor currents. Our conjecture is supported by various evidence such as agreements of the spectra, one-loop free energies and SUSY enhancement on the both sides. We also predict the leading free energy of the N = 5 Vasiliev theory from the CET side. As a byproduct, we give a derivation of the relation between the parity violating phase in the N = 6 Vasiliev theory and the parameters in the N = 6 ABJ theory, which was conjectured in [1].

• 出版日期2017-11-28