Supersymmetry in 2+2 dimensions

THOMAS N. SHERRY

Supersymmetry in 2+2 dimensions

THOMAS N. SHERRY

Mathematics

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Abstract

The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

Original language	English (Ireland)
Journal	Modern Physics Letters A
Volume	15
Publication status	Published - 1 Jul 2000

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abstract = "The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases. ",

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N2 - The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

AB - The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

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VL - 15

JO - Modern Physics Letters A

JF - Modern Physics Letters A

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Supersymmetry in 2+2 dimensions

Abstract

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