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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Field theory in two-time physics with N=1 supersymmetry
1Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA.
Physical Review Letters
|August 7, 2007
Summary
We developed a supersymmetric field theory in 4+2 dimensions using two-time (2T) physics. This framework simplifies to standard 3+1 dimensional supersymmetric field theory with unique constraints, advancing 2T physics.
Area of Science:
- High-energy theoretical physics
- Quantum field theory
- Supersymmetry
Background:
- Two-time (2T) physics offers a novel theoretical framework extending traditional spacetime dimensions.
- Supersymmetric (SUSY) field theories are crucial for understanding fundamental particle interactions and symmetries.
- Reconciling higher-dimensional theories with observed 3+1 dimensional physics remains a key challenge.
Purpose of the Study:
- To construct an N=1 supersymmetric field theory within the 4+2 dimensional framework of 2T physics.
- To explore the gauge symmetries and interactions dictated by this combined theoretical structure.
- To investigate the reduction of the 4+2 dimensional theory to lower dimensions and its phenomenological implications.
Main Methods:
- Formulation of chiral and vector supermultiplets in 4+2 dimensions.
- Application of SUSY and 2T physics gauge symmetries to uniquely determine field interactions.
- Gauge fixing to analyze the reduction to 3+1 dimensions.
Main Results:
- A consistent N=1 supersymmetric field theory in 4+2 dimensions compatible with 2T physics was successfully constructed.
- Field interactions were uniquely determined by the combined gauge symmetries.
- In a specific gauge, the 4+2 theory reduces to a 3+1 dimensional supersymmetric field theory without Kaluza-Klein modes, featuring additional phenomenologically relevant constraints.
Conclusions:
- The construction demonstrates the viability and power of 2T physics as a foundational structure for supersymmetric theories.
- The resulting 3+1 dimensional theory offers new constraints with potential phenomenological applications.
- This work represents a significant advancement in the development and understanding of 2T physics beyond traditional 1T physics.
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