Abstract
Acting with non-Abelian T-duality on the S3 inside the AdS5 subspace of AdS5 × S5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries. The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of N, in which the multiplicity of each SU(2) irreducible representation is equal to its dimension. This vacuum is interpreted in M-theory in terms of giant gravitons backreacting in the maximally supersymmetric pp-wave geometry. Consistently with this, we show that the non-Abelian T-dual solution exactly agrees with the Penrose limit of the superstar solution in AdS7 × S4. This suggests an interesting global completion of the non-Abelian T-dual solution in terms of an M5-brane geometry.
Highlights
Acting with non-Abelian T-duality on the S3 inside the AdS5 subspace of AdS5 × S5 with N units of flux, we generate a new half-BPS solution with SU(2|4) symmetry that belongs to the Lin-Lunin-Maldacena class of geometries
The analysis of the asymptotics, quantised charges and probe branes in this geometry suggests an interpretation as the gravity dual to the Berenstein-Maldacena-Nastase Plane Wave Matrix Model, in a particular vacuum associated to a partition of N, in which the multiplicity of each SU(2) irreducible representation is equal to its dimension
We present a (0 + 1)-dimensional quantum field theory that captures the dynamics of the non-Abelian T-dual solution and dictates a completion of the background
Summary
We summarise different results pertaining to the Plane Wave Matrix Model (PWMM) introduced by Berenstein, Maldacena and Nastase in [59]. The field theory has global bosonic symmetries SO(2, 4) × SO(6) and preserves 32 SUSYs. Since the CFT is defined on a three-sphere, it is natural to distinguish inside SO(2, 4) a subgroup SO(4) ∼ SU(2) × SU(2). The field theories that result after the modding out are N = 4 SYM on Rt × S3/Zk, N = 8 SYM on Rt × S2 and the BMN Plane Wave Matrix Model, respectively. All these quantum field theories have global symmetries SO(6)×SO(3) and preserve 16 SUSYs. The three theories have a very interesting vacuum structure with a mass gap. In the following and for the purposes of this paper, we will focus on the Plane Wave Matrix Model
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