Lorentz breaking supersymmetry and Horava-Lifshitz-like models

Abstract

We present a Lorentz-breaking supersymmetric algebra characterized by a critical exponent $z$. Such construction requires a non trivial modification of the supercharges and superderivatives. The improvement of renormalizability for supersymmetric scalar QED is shown and the Kählerian effective potentials are calculated in different cases. We also show how the theory flows naturally to the Lorentz symmetric case at low energies.

19 pages, 7 figures. Minor correction. Version to appear in PRD

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Renormalization of Lorentz violating theories
• Renormalization group in Lifshitz-type theories
• Living with Ghosts and their Radiative Corrections
• On the effective potential for Horava-Lifshitz-like theories with the arbitrary critical exponent
• On the Horava-Lifshitz-like extensions of supersymmetric theories
• On one-loop corrections in the Horava-Lifshitz-like QED

Cited by in corpus (6)

• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• On one-loop corrections in the Horava-Lifshitz-like QED
• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure
• Lorentz-violating quantum electrodynamics in two-dimensional aether-superspace
• $\mathcal{N}=1$ $\mathcal{D}=3$ Lifshitz-Wess-Zumino model: A paradigm of reconciliation between Lifshitz-like operators and supersymmetry
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity