Supersymmetry, Some Simple Examples

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 33 in Quantum Theory, Groups and Representations, 2017, pp 413-420 from Springer

Abstract: Abstract If one considers fermionic and bosonic quantum systems that each separately has operators coming from Lie algebra or superalgebra representations on their state spaces, when one combines the systems by taking the tensor product, these operators will continue to act on the combined system. In certain special cases, new operators with remarkable properties will appear that mix the fermionic and bosonic systems and commute with the Hamiltonian (these operators are often given by some sort of “square root” of the Hamiltonian).

Date: 2017
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DOI: 10.1007/978-3-319-64612-1_33

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