Gauging the Heisenberg algebra of special quaternionic manifolds

Abstract

We show that in N=2 supergravity, with a special quaternionic manifold of (quaternionic) dimension h_1+1 and in the presence of h_2 vector multiplets, a h_2+1 dimensional abelian algebra, intersecting the 2h_1+3 dimensional Heisenberg algebra of quaternionic isometries, can be gauged provided the h_2+1 symplectic charge--vectors V_I, have vanishing symplectic invariant scalar product V_I X V_J=0. For compactifications on Calabi--Yau three--folds with Hodge numbers (h_1,h_2) such condition generalizes the half--flatness condition as used in the recent literature. We also discuss non--abelian extensions of the above gaugings and their consistency conditions.

arXiv comment9 pages, LaTeX

References in corpus (12)

• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• Symmetry structure of special geometries
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Type II Theories Compactified on Calabi-Yau Threefolds in the Presence of Background Fluxes
• Compactifications of Type IIB Strings to Four Dimensions with Non-trivial Classical Potential
• Mirror symmetric SU(3)-structure manifolds with NS fluxes
• R--R Scalars, U--Duality and Solvable Lie Algebras
• D=4, N=2 Gauged Supergravity in the Presence of Tensor Multiplets
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• Type IIB Theory on Half-flat Manifolds
• D=4, N=2 Supergravity with Abelian electric and magnetic charges

Cited by in corpus (52)

• Flux compactifications in string theory: a comprehensive review
• Hitchin Functionals in N=2 Supergravity
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• String loop corrected hypermultiplet moduli spaces
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Gauged Supergravities
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• RR photons
• Effective action of (massive) IIA on manifolds with SU(3) structure
• Exploiting N=2 in consistent coset reductions of type IIA
• Gauged supergravity algebras from twisted tori compactifications with fluxes
• Fixing All Moduli for M-Theory on K3xK3
• Towards Minkowski Vacua in Type II String Compactifications
• Moduli Stabilisation in Heterotic String Compactifications
• Non-Perturbative Superpotentials in F-theory and String Duality
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Topological mirror symmetry with fluxes
• The Scherk-Schwarz mechanism as a flux compactification with internal torsion
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Nearly Kaehler Reduction
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• Heterotic String Compactifications on Half-flat Manifolds II
• Towards reduction of type II theories on SU(3) structure manifolds
• On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
• M-theory on seven-dimensional manifolds with SU(3) structure
• The N=1 Low-Energy Effective Action of Spontaneously Broken N=2 Supergravities
• Supersymmetric Vacua in N=2 Supergravity
• Reducing democratic type II supergravity on SU(3) x SU(3) structures
• A special road to AdS vacua
• Heterotic-type IIA duality with fluxes
• Scalar potential for the gauged Heisenberg algebra and a non-polynomial antisymmetric tensor theory
• Non-Kaehler attracting manifolds
• Laplacian spectrum on a nilmanifold, truncations and effective theories
• Curvatures and potential of M-theory in D=4 with fluxes and twist
• N=1 domain wall solutions of massive type II supergravity as generalized geometries
• Examples of N=2 to N=1 supersymmetry breaking
• Dual Gauged Supergravities
• Observations on the Darboux coordinates for rigid special geometry
• Domain wall flow equations and SU(3)xSU(3) structure compactifications
• Quaternionic Quantization Principle in General Relativity and Supergravity
• Moduli Stabilisation in Heterotic Models with Standard Embedding
• Partial SUSY Breaking for Asymmetric Gepner Models and Non-geometric Flux Vacua
• The $c$-map, Tits Satake subalgebras and the search for $\mathcal{N}=2$ inflaton potentials
• Observations on BI from $\mathcal{N}=2$ Supergravity and the General Ward Identity
• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Gauged supergravities from M-theory reductions
• Schwarzschild-AdS Black Holes in N=2 Geometric Flux Compactification
• Power-law Solutions from Heterotic Strings
• Dimensional Reductions of DFT and Mirror Symmetry for Calabi-Yau Three-folds and $K3\times T^2$
• Generalized Geometry and Partial Supersymmetry Breaking
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
• N=1 domain wall solutions of massive type II supergravity and the issue of mirror symmetry