Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics
arXiv:0704.1185 · doi:10.1016/j.nuclphysb.2007.06.014
Abstract
As a step towards formulating projective superspace techniques for supergravity theories with eight supercharges, this work is devoted to field theory in five-dimensional N = 1 anti-de Sitter superspace AdS^{5|8} = SU(2,2|1)/SO(4,1) x U(1) which is a maximally symmetric curved background. We develop the differential geometry of AdS^{5|8} and describe its isometries in terms of Killing supervectors. Various off-shell supermultiplets in AdS^{5|8} x S^2 are defined, and supersymmetric actions are constructed both in harmonic and projective superspace approaches. Several families of supersymmetric theories are presented including nonlinear sigma-models, Chern-Simons theories and vector-tensor dynamical systems. Using a suitable coset representative, we make use of the coset construction to develop an explicit realization for one half of the superspace AdS^{5|8} as a trivial fiber bundle with fibers isomorophic to four-dimensional Minkowski superspace.
50 pages, LaTeX; v2: minor changes, references added; v3: typos corrected, the presentation in subsections 6.3 and 6.5 improved
References in corpus (27)
- Large N Field Theories, String Theory and Gravity
- N=4 Topological Strings
- Correlation Functions of Conserved Currents in N = 2 Superconformal Theory
- N=1 Superconformal Symmetry in Four Dimensional Quantum Field Theory
- Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
- Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry
- Projective Superspace as a Double--Punctured Harmonic Superspace
- Feynman Rules in N=2 Projective Superspace I: Massless hypermultiplets
- On compactified harmonic/projective superspace, 5D superconformal theories, and all that
- Superspace Effective Actions for 4D Compactifications of Heterotic and Type II Superstrings
- On Five-dimensional Superspaces
- Feynman rules in N=2 projective Superspace II: Massive hypermultiplets
- Harmonic superpotentials and symmetries in gauge theories with eight supercharges
- The CNM-Hypermultiplet Nexus
- Towards a Unified Theory of Massless Superfields of All Superspins
- Curved Extended Superspace from Yang-Mills Theory a la Strings
- 4D, N = 2 Supersymmetric Off-shell Sigma-Models on the Cotangent Bundles of Kahler Manifolds
- On the Superconformal Flatness of AdS Superspaces
- N = 2 Supersymmetry of Higher Superspin Massless Theories
- Hyper-Kahler Sigma Models on (Co)tangent Bundles with SO(n) isometry
- Hyperkahler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace
- 6D Supersymmetry, Projective Superspace and 4D, N=1 Superfields
- 6D Supersymmetric Nonlinear Sigma-Models in 4D, N=1 Superspace
- Goldstone Superfield Actions in AdS5 backgrounds
- Goldstone multiplet for partially broken superconformal symmetry
- Covariant N=2 heterotic string in four dimensions
- Explicit N=2 supersymmetry for higher-spin massless fields in D=4 AdS superspace
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- Different representations for the action principle in 4D N = 2 supergravity
- On superconformal projective hypermultiplets
- Five-dimensional Superfield Supergravity
- Field theory in 4D N=2 conformally flat superspace
- Three-dimensional (p,q) AdS superspaces and matter couplings
- Six-dimensional Supergravity and Projective Superfields
- Three-dimensional N=2 supergravity theories: From superspace to components
- On N = 2 supergravity and projective superspace: Dual formulations
- Global Supersymmetry on Curved Spaces in Various Dimensions
- Symmetries of curved superspace in five dimensions
- Symmetries of curved superspace
- Extended supersymmetric sigma models in AdS_4 from projective superspace
- Off-shell cubic hypermultiplet couplings to higher spin gauge superfields
- 2D N=(4,4) superspace supergravity and bi-projective superfields
- Symmetries of supergravity backgrounds and supersymmetric field theory
- On curvature-squared invariants of minimal five-dimensional supergravity from superspace
- AdS_5 Supersymmetry in N=1 Superspace
- Nonlinear sigma models with AdS supersymmetry in three dimensions
- On 2D N=(4,4) superspace supergravity
- Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity
- Superforms in Simple Six-dimensional Superspace
- Supersymmetric Field Theories on AdS_p x S^q
- Embedding formalism for -extended AdS superspace in four dimensions
- Vector-tensor supermultiplets in AdS and supergravity
- Supersymmetric Nonlinear Sigma Model in AdS_5
- AdS hypermultiplets in harmonic superspace
- Goldstino superfields in AdS_4
- Wandering in five-dimensional curved superspace
- A Detailed Discussion of Superfield Supergravity Prepotential Perturbations in the Superspace of the Correspondence
- Topics in 3D N=2 AdS supergravity in superspace
- Holographic origin of -maximization and higher-derivative AdS/CFT
- Supersymmetry at BLTP: Recent Progress in Two Directions