An alternative IIB embedding of F(4) gauged supergravity

TL;DR

This work constructs a complete non-linear KK reduction from type IIB to Romans' $F(4)$ gauged supergravity in six dimensions, identifying the supersymmetric $AdS_6$ vacuum as the IIB uplift of Romans' vacuum and establishing a two-branch uplift framework via non-Abelian T-duality. It verifies that the seven-dimensional equations of motion obtained from the IIB uplift precisely reproduce Romans' $F(4)$ dynamics, and demonstrates that the IIB uplift of several Romans solutions preserves supersymmetry where expected. By deriving the NS and RR sectors and checking the IIB Einstein equations against the seven-dimensional target, the paper confirms non-Abelian T-duality as a symmetry of the type II equations of motion in this context and provides explicit uplifts to IIB (in addition to the known IIA embedding). The authors uplift supersymmetric domain walls, magnetovac, Lifshitz deformations, and a charged black hole, broadening the landscape of holographic backgrounds dual to higher-dimensional SCFTs and twisted compactifications, and outlining avenues for incorporating vector multiplets in future work.

Abstract

Through the construction of a complete non-linear Kaluza-Klein reduction ansatz from type IIB supergravity to Romans' F(4) gauged supergravity, we identify a recently discovered supersymmetric AdS_6 solution as the IIB uplift of the supersymmetric vacuum of Romans' theory. We present new IIB uplifts of a number of known solutions of Romans' theory and comment on supersymmetry in higher-dimensions where it is expected.

Figures (1)

• Figure 1: The massive IIA reduction on $S^4$ can be decomposed into a reduction on $S^3$ (left arrow) to $D=7$ followed by a further reduction on the remaining angular coordinate of the $S^4$. In this paper we construct the alternative reduction from type IIB (right arrow) to $D=7$ leading to an embedding of Romans' theory in type IIB.