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Quantum Affine Symmetry as Generalized Supersymmetry | | A. LeClair
; C. Vafa
; | | Date: |
1 Oct 1992 | | Journal: | Nucl. Phys. B401 (1993) 413 | | Subject: | hep-th | | Abstract: | The quantum affine $CU_q (hat{sl(2)}) $ symmetry is studied when $q^2$ is an even root of unity. The structure of this algebra allows a natural generalization of N=2 supersymmetry algebra. In particular it is found that the momentum operators $P ,ar{P}$, and thus the Hamiltonian, can be written as generalized multi-commutators, and can be viewed as new central elements of the algebra $CU_q (hat{sl(2)})$. We show that massive particles in (deformations of) integer spin representions of $sl(2)$ are not allowed in such theories. Generalizations of Witten’s index and Bogomolnyi bounds are presented and a preliminary attempt in constructing manifestly $CU_q (hat{sl(2)})$ invariant actions as generalized supersymmetric Landau-Ginzburg theories is made. | | Source: | arXiv, hep-th/9210009 | | Other source: | [GID 56624] hep-th/9210009 | | Services: | Forum | Review | PDF | Favorites | |
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