Superfields as an extension of the spin representation of the orthogonal group
Jan-Olov Winnberg
Abstract
Jan-Olov Winnberg
Abstract
We show that a superfield can be interpreted as a spinor belonging to the spin representation of a Clifford algebra. A subset of this algebra is connected by a linear automorphism to the orthogonal group. With this interpretation it should be possible to give a physical meaning to Grassmann variables.
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We show that a superfield can be interpreted as a spinor belonging to the spin representation of a Clifford algebra. A subset of this algebra is connected by a linear automorphism to the orthogonal group. With this interpretation it should be possible to give a physical meaning to Grassmann variables.
Key concepts: Spinor, Clifford algebra, Spin representation, Algebra over a field, Mathematics, Automorphism, Interpretation (philosophy), Extension (predicate logic)