dorsal/arxiv
View SchemaPast the Highest-Weight, and What You Can Find There
| Authors | A M Semikhatov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712024 |
| URL | https://arxiv.org/abs/q-alg/9712024 |
Abstract
The properties of highest-weight representations of the N=2 superconformal algebra in two dimensions can be considerably simplified when re-expressed in terms of relaxed ^sl(2) representations. This applies to the appearance of submodules and hence, of singular vectors, and to the structure of the embedding diagrams and the BGG-type resolution. I also discuss the realization of these representations in the bosonic string, where the generalized DDK prescription amounts to the requirement that the representations have a charged singular vector, and the role of the fermionic screening operator.
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"abstract": "The properties of highest-weight representations of the N=2 superconformal\nalgebra in two dimensions can be considerably simplified when re-expressed in\nterms of relaxed ^sl(2) representations. This applies to the appearance of\nsubmodules and hence, of singular vectors, and to the structure of the\nembedding diagrams and the BGG-type resolution. I also discuss the realization\nof these representations in the bosonic string, where the generalized DDK\nprescription amounts to the requirement that the representations have a charged\nsingular vector, and the role of the fermionic screening operator.",
"arxiv_id": "q-alg/9712024",
"authors": [
"A M Semikhatov"
],
"categories": [
"q-alg",
"hep-th",
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"title": "Past the Highest-Weight, and What You Can Find There",
"url": "https://arxiv.org/abs/q-alg/9712024"
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