Nonlinear realizations of superconformal and W algebras as embeddings of strings

Abstract

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.

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

References in corpus (2)

• String and Particle with Two Times
• F-Theory and the universal string theory

Cited by in corpus (1)

• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings