Nonlinear realizations of superconformal and W algebras as embeddings of strings

Details Nonlinear realizations of superconformal and W algebras as embeddings of strings Nonlinear realizations of superconformal and W algebras as embeddings of strings

1997-07-29

arxiv.org/abs/hep-th/9707240v2

Nucl.Phys.B510:477-501,1998

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTeX, PACS: 11.17.+y, some misprints corrected, section 5 slightly modified, one reference added

Scientific paper

10.1016/S0550-3213(97)00697-4

We propose a simple method for constructing representations of (super)conformal and nonlinear W-type algebras in terms of their subalgebras and corresponding Nambu-Goldstone fields. We apply it to N=2 and N=1 superconformal algebras and describe in this way various embeddings of strings and superstrings for which these algebras and their subalgebras define world-sheet symmetries. Besides reproducing the known examples, we present some new ones, in particular an embedding of the bosonic string with additional U(1) affine symmetry into N=2 superstring. We also apply our method to the nonlinear $W_3^{(2)}$ algebra and demonstrate that the linearization procedure worked out for it some time ago gets a natural interpretation as a kind of string embedding. All these embeddings include the critical ones as particular cases.

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