A Supersymmetric Wess-Zumino Lagrangian in Two-Dimensions
Nov, 198426 pages
Published in:
- Nucl.Phys.B 253 (1985) 701-726
- Published: 1985
Report number:
- WU B 84-33
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Abstract: (Elsevier)
We construct a supersymmetric version of the Wess-Zumino action in two dimensions. For a special value of the coupling constant γ 2 = 4 π / n it turns out that this theory consists of the original WZ action plus free fermions in the adjoint representation. By bosonization such a theory should be equivalent to a theory of two sets of free fermions. We study in some detail how supersymmetry is realized in these two theories. We further develop the general formalism for studying any two-dimensional quantum theory that is superconformal and super-Kac-Moody invariant, the SWZ theory and the particular free Fermi theory being examples. We generalize and apply this formalism to prove the equivalence of SWZ to a free Fermi theory.- SUPERSYMMETRY
- Wess-Zumino model
- FIELD THEORY: TWO-DIMENSIONAL
- FIELD THEORY: BOSONIZATION
- FIELD THEORY: OPERATOR PRODUCT EXPANSION
- INVARIANCE: CONFORMAL
- ALGEBRA: KAC-MOODY
- FERMION: FIELD THEORY
- SYMMETRY: O(N)
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