Super-Galilei Invariant Field Theories in 2+1 Dimensions

Abstract

We extend the Galilei group of space-time transformations by gradation, construct interacting field-theoretic representations of this algebra, and show that non-relativistic Super-Chern-Simons theory is a special case. We also study the generalization to matrix valued fields, which are relevant to the formulation of superstring theory as a $1/N_c$ expansion of a field theory. We find that in the matrix case, the field theory is much more restricted by the supersymmetry.

25 pages + 2 postscript figures, phyzzx and psfig required

References in corpus (5)

• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• Reformulating String Theory with the $1/N$ Expansion
• String Bit Models for Superstring
• Perturbation Theory and the Aharonov-Bohm Effect

Cited by in corpus (17)

• String Bit Models for Superstring
• Aspects of Non-Relativistic Quantum Field Theories
• The Non-Relativistic Superparticle in a Curved Background
• Theory of Ultracold Superstrings
• Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations
• Super-Carrollian and Super-Galilean Field Theories
• Renormalization properties of a Galilean Wess-Zumino model
• Null Melvin Twist to Sakai-Sugimoto model
• Supersymmetric Quantum Mechanics for String-Bits
• On 1+1 Dimensional Galilean Supersymmetry in Ultracold Quantum Gases
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Supersymmetric Galilean Electrodynamics
• Stable String Bit Models
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• Supersymmetric soliton solution in (1+1)-dimensional Ultracold Quantum Gases
• From $\mathcal{N}=4$ Galilean superparticle to three-dimensional non-relativistic $\mathcal{N}=4$ superfields
• Developments in non-relativistic field theory and complexity