The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields (Q1096217)
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scientific article; zbMATH DE number 4030536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields |
scientific article; zbMATH DE number 4030536 |
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The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields (English)
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1988
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We present an index theory for Dirac operators Q on the loop space \(S^ 1\to {\mathbb{R}}\). These Dirac operators are obtained from supersymmetric quantum field models containing one real Bose field and one real (Majorana) Fermi field. The interactions of the model are described by a real polynomial V. We prove that Q is Fredholm and we compute its index, namely \(\pm [(\deg V+1)mod 2]\).
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index theory for Dirac operators
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loop space
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real Bose field
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real (Majorana) Fermi field
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