Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories

Abstract

This paper shows that the positive-energy and non-renormalization theorems of traditional supersymmetry survive the addition of Lorentz violating interactions. The Lorentz-violating coupling constants in theories using the construction of Berger and Kostelecky must obey certain constraints in order to preserve the positive energy theorem. Seiberg's holomorphic arguments are used to prove that the superpotential remains non-renormalized (perturbatively) in the presence of Lorentz-violating interactions of the Berger-Kostelecky type. We briefly comment on Lorentz-violating theories of the type constructed by Nibbelink and Pospelov to note that holomorphy arguments offer elegant proofs of many non-renormalization results, some known by other arguments, some new.

v3: Discussion and clarification added. References added. Results on gauge-kinetic function expanded

References in corpus (7)

• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• Lorentz violation, Gravity, Dissipation and Holography
• On the superfield supersymmetric aether-like Lorentz-breaking models
• Vector Superfields and Lorentz Violation
• Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality

Cited by in corpus (5)

• What Do We Know About Lorentz Invariance?
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Lorentz-violating spinor electrodynamics and Penning traps
• Lorentz and CPT Tests with Clock-Comparison Experiments
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps