Abstract
We show how to expand the Lunin-Maldacena solution to the full bosonic sector of gauged mathcal{N} = 2 supergravity. In particular, we construct a consistent truncation of IIB supergravity on a β-deformed AdS5 × S5 background retaining a dynamical metric and graviphoton in five dimensions. We comment on the relation between this solution and similar constructions on Sasaki-Einstein manifolds, as well as the possibility of further consistent truncations which generalize the Lunin-Maldacena solution.
Highlights
JHEP01(2020)177 of corresponding supergravity fields active [6, 7]
We show how to expand the Lunin-Maldacena solution to the full bosonic sector of gauged N = 2 supergravity
We construct a consistent truncation of IIB supergravity on a β-deformed AdS5 × S5 background retaining a dynamical metric and graviphoton in five dimensions
Summary
There is as yet no fully systematic treatment of consistent truncations, the starting point is clear as we can gain much insight from the linearized KK spectrum. Since the deformed background in (2.1) preserves N = 2 supersymmetry, our aim is to obtain a truncation to the bosonic sector of N = 2 supergravity This involves the generalization of the AdS5 background to an arbitrary five-dimensional space with metric gμν along with the addition of a graviphoton A with field strength F = dA. To do this we will take advantage of the natural Sasaki-Einstein structure of S5. Since the graviphoton gauges the U(1)R isometry generated by ∂/∂ψ, the metric ansatz is obtained by the replacement dφi → dφi+A This is not yet complete, as the fiveform field strength gains graviphoton contributions in a Freund-Rubin setup.
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