Evidence for the Holographic dual of ${\cal N}=3$ Solution in Massive Type IIA

Yi Pang; Junchen Rong

doi:10.1103/PhysRevD.93.065038

paper

Evidence for the Holographic dual of $N = 3$ Solution in Massive Type IIA

arXiv:1511.08223 · doi:10.1103/PhysRevD.93.065038

Abstract

We calculate the Kaluza-Klein spectrum of spin-2 fluctuations around the $N = 3$ warped $AdS_{4} \times M_{6}$ solution in massive IIA supergravity. This solution was conjectured to be dual to the $D = 3$ $N = 3$ superconformal $SU (N)$ Chern-Simons matter theory with level $k$ and 2 adjoint chiral multiplets. The $SO (3)_{R} \times SO (3)_{D}$ isometry of the $N = 3$ solution is identified with the $SU (2)_{F} \times SU (2)_{R}$ global symmetry of the dual $N = 3$ SCFT. We show that the $SO (3)_{R} \times SO (3)_{D}$ quantum numbers and the $AdS$ energies carried by the BPS spin-2 modes match precisely with those of the spin-2 gauge invariant operators in the short multiplets of operators in the $N = 3$ SCFT. We also compute the Euclidean action of the $N = 3$ solution and the free energy of the $N = 3$ SCFT on $S^{3}$ , in the limit $N ≫ k$ . Remarkably, the results show a complete agreement.

typos in appendix are corrected

Evidence for the Holographic dual of $N = 3$ Solution in Massive Type IIA

Abstract

References in corpus (13)

Cited by in corpus (14)

Evidence for the Holographic dual of N=3 Solution in Massive Type IIA

Abstract

References in corpus (13)

Cited by in corpus (14)

Evidence for the Holographic dual of $N = 3$ Solution in Massive Type IIA