Imaginary supergravity or Virial supergravity?
arXiv:1411.1057 · doi:10.1016/j.nuclphysb.2015.01.012
Abstract
When a globally supersymmetric theory is scale invariant, it must possess a Virial supercurrent supermultiplet. The multiplet structure is analogous to the R-current supermultiplet in globally R-symmetric theories but we put extra ""s in various formulae. We construct a novel type of supergravity from gauging the Virial supercurrent supermultiplet in dimensions. We give the full non-linear superspace action with the help of a covariantly linear unitary superconformal compensator. The resulting supergravity is peculiar: (1) no Einstein-like second order kinetic term is allowed without matter (2) there exists a dynamical non-geometrical connection (3) the metric is unimodular in the Wess-Zumino gauge and can be coupled only to scale invariant matter. Examples of matter couplings and higher derivative kinetic terms are studied from the superconformal approach. Our work completes the classification of the irreducible supergravities in dimensions.
25 pages
References in corpus (27)
- Self-Interaction and Gauge Invariance
- Rigid Supersymmetric Theories in Curved Superspace
- Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity
- Einstein Gravity from Conformal Gravity
- The Geometry of Supersymmetric Partition Functions
- Supersymmetry on Curved Spaces and Holography
- Exploring Curved Superspace
- Supercurrents and Brane Currents in Diverse Dimensions
- What Maxwell Theory in D<>4 teaches us about scale and conformal invariance
- Scale and conformal invariance in field theory: a physical counterexample
- Three-dimensional N=2 (AdS) supergravity and associated supercurrents
- New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
- On the Inconsistency of Fayet-Iliopoulos Terms in Supergravity Theories
- From Rigid Supersymmetry to Twisted Holomorphic Theories
- Supersymmetry on curved spaces and superconformal anomalies
- Rigid Supersymmetric Backgrounds of Minimal Off-Shell Supergravity
- Variant supercurrent multiplets
- Superfield Noether Procedure
- Variant supercurrents and Noether procedure
- Supersymmetric counterterms from new minimal supergravity
- The Off-shell (3/2, 2) Supermultiplets Revisited
- Symmetries of curved superspace
- Scale invariance vs conformal invariance
- Supercurrent, Supervirial and Superimprovement
- Unimodular Supergravity
- Variant Supercurrents and Linearized Supergravity
- Zoology of heterotic supercurrent supermultiplets in d=2
Cited by in corpus (6)
- Five dimensional supergravity in N = 1 superspace
- Hierarchy of Supersymmetric Higher Spin Connections
- Five-dimensional Supergravity in N = 1/2 Superspace
- Weyl transverse diffeomorphism invariant theory of symmetric teleparallel gravity
- Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
- The conformal supercurrents in diverse dimensions and conserved superconformal currents