On Non-Relativistic Supersymmetry and its Spontaneous Breaking

Abstract

We study non-relativistic supersymmetric field theories in diverse dimensions. The theories consist of scalars and fermions and possess two, four or eight real supercharges. We analyze their spontaneous supersymmetry breaking structure and calculate the gapless spectrum. We calculate the perturbative quantum corrections at the supersymmetric vacua and show that while supersymmetry is preserved, scale invariance is broken and the theories are IR free.

References in corpus (6)

• Emergent Supersymmetry from Strongly Interacting Majorana Zero Modes
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Revisiting non-relativistic limits
• Non-Relativistic Scale Anomalies
• A family of super Schrodinger invariant Chern-Simons matter systems
• On Supersymmetric Lifshitz Field Theories

Cited by in corpus (7)

• Aspects of Non-Relativistic Quantum Field Theories
• Renormalization properties of a Galilean Wess-Zumino model
• Existence and Construction of Galilean invariant $z\ne 2$ Theories
• The Panorama of Spin Matrix Theory
• Spin Matrix Theory in near $\frac{1}{8}$-BPS corners of $\mathcal{N}=4$ super-Yang-Mills
• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• Supersymmetric Galilean Electrodynamics