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Paper   IPM / Physic / 6606
School of Physics
  Title:   Can We Have Exact Supersymmetry with Undetected Superpaterns? Lessons from 2+1 Dimensions
  Author(s): 
1.  F. Ardalan
2.  S. Kim
3.  F. Mansouri
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  No.:  18
  Vol.:  12
  Year:  1997
  Pages:   1183-1193
  Supported by:  IPM
  Abstract:
We show that the exact solution of the two-superbody problem in N=2 Chern Simons supergravity in 2+1 dimensions leads to a supermultiplet of space-times. This space-time supermultiplet can be described in terms of an "operator line element" which acts on the Hilbert space of Poincar\acutee states which make up the equivalent one-superbody source. For large distance physics, the corresponding geometry may be viewed as that of a spinning cone with an additional finite discrete dimension. One of the interesting features of this universe is that superpartners of a given particle lie in different components of this supersymmetric space-time. Therefore, to have any hope of detecting the superpartners of known particles, supersymmetry must remain exact.

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