Nonlinear Supersymmetry, Brane-bulk Interactions and Super-Higgs without Gravity

Abstract

We derive the coupling of a hypermultiplet of N=2 global supersymmetry to the Dirac-Born-Infeld Maxwell theory with linear N=1 and a second nonlinear supersymmetry. At the level of global supersymmetry, this construction corresponds to the interaction with Maxwell brane fields of bulk hypermultiplets, such as the universal dilaton of type IIB strings compactified on a Calabi-Yau manifold. It displays in particular the active role of a four-form field. Constrained N=1 and N=2 superfields and the formulation of the hypermultiplet in its single-tensor version are used to derive the nonlinear realization, allowing a fully off-shell description. Exact results with explicit symmetries and supersymmetries are then obtained. The electric-magnetic dual version of the theory is also derived and the gauge structure of the interaction is exemplified with N=2 nonlinear QED of a charged hypermultiplet. Its Higgs phase describes a novel super-Higgs mechanism without gravity, where the goldstino is combined with half of the hypermultiplet into an N=1 massive vector multiplet.

42 pages

References in corpus (2)

• From Linear SUSY to Constrained Superfields
• Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization

Cited by in corpus (15)

• Soft branes in supersymmetry-breaking backgrounds
• Nonlinear $\mathcal{N}=2$ Global Supersymmetry
• Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
• Metastable supersymmetry breaking in N=2 non-linear sigma-models
• N=2 supersymmetry breaking at two different scales
• On the dynamical origin of parameters in $\mathcal{N}=2$ Supersymmetry
• The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry
• $\mathcal{N}=2$ Supersymmetry Partial Breaking and Tadpole Anomaly
• Interpolation of partial and full supersymmetry breakings in $\mathcal{N}=2$ supergravity
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Partial $\mathcal{N}=2$ Supersymmetry Breaking and Deformed Hypermultiplets
• Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity
• Quintic constraints for $\mathcal{N}=2$ multiplets and complete SUSY breaking
• On the partial breaking of $\mathcal{N}=2$ rigid supersymmetry with complex hypermultiplet
• ALP Constraints in Gauged $\mathcal{N}=2$ Supergravity