$d{S}_5$ vacua from matter-coupled 5D N=4 gauged supergravity

Abstract

We study $d{S}_5$ vacua within matter-coupled $N=4$ gauged supergravity in five dimensions using the embedding tensor formalism. With a simple ansatz for solving the extremization and positivity of the scalar potential, we derive a set of conditions for the gauged supergravity to admit $d{S}_5$ as maximally symmetric background solutions. The results provide a new approach for finding $d{S}_5$ vacua in five-dimensional $N=4$ gauged supergravity and explain a number of notable features pointed out in previous works. These conditions also determine the form of the gauge groups to be $SO(1,1)\times G_{\text{nc}}$ with $G_{\text{nc}}$ being a non-abelian non-compact group. In general, $G_{\text{nc}}$ can be a product of $SO(1,2)$ and a smaller non-compact group $G_{\text{nc}}^{\prime }$ together with (possibly) a compact group. The $SO(1,1)$ factor is gauged by one of the six graviphotons, that is singlet under $SO(5)\sim USp(4)$ R-symmetry. The compact parts of $SO(1,2)$ and $G_{\text{nc}}^{\prime }$ are gauged by vector fields from the gravity and vector multiplets, respectively. In addition, we explicitly study $d{S}_5$ vacua for a number of gauge groups and compute scalar masses at the vacua. As in the four-dimensional $N=4$ gauged supergravity, all the $d{S}_5$ vacua identified here are unstable.

arXiv comment26 pages, no figure, typos corrected and more detail added

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• The dS/CFT Correspondence
• Supergravity description of field theories on curved manifolds and a no go theorem
• Gauged N=4 supergravities
• Flux moduli stabilisation, Supergravity algebras and no-go theorems
• Stable de Sitter Vacua from N=2 Supergravity
• Complete classification of Minkowski vacua in generalised flux models
• Slow-Roll Inflation in Non-geometric Flux Compactification
• The Vacua of 5d,N=2 Gauged Yang-Mills/Einstein/Tensor Supergravity: Abelian Case
• More stable dS vacua from S-dual non-geometric fluxes
• General Matter Coupled N=4 Gauged Supergravity in Five Dimensions
• The Flux-Scaling Scenario: De Sitter Uplift and Axion Inflation
• De Sitter solutions in N=4 matter coupled supergravity
• Potential and mass-matrix in gauged N=4 supergravity
• N=4 Supersymmetric AdS5 Vacua and their Moduli Spaces
• De Sitter in Extended Supergravity
• Stable de Sitter vacua in N=2, D=5 supergravity
• Supersymmetric $Ad{S}_5$ black holes and strings from 5D $N=4$ gauged supergravity
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• A General Study of Ground States of N=2 Supergravity Theories with Symmetric Scalar Manifolds in 5 Dimensions

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