Geodesic
Supersymmetric chiral boson with linearly realized self-duality condition
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 77-84

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Two supersymmetric versions for the theory of a chiral boson with linearly realized self-duality condition are proposed. In both cases the sector of physical states after canonical quantization contains only modes propagating to the left. The first version describes a chiral boson and its superpartner; the second does not contain nontrivial Fermi degrees of freedom. Both actions are rewritten in a locally supersymmetric form by introducing an interaction with $(1,0)$ supergravity in the superfield and component forms. 
@article{TMF_1992_92_1_a5,
     author = {A. A. Deriglazov},
     title = {Supersymmetric chiral boson with linearly realized self-duality condition},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {77--84},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a5/}
}
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A. A. Deriglazov. Supersymmetric chiral boson with linearly realized self-duality condition. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 77-84. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a5/