Generalized $\W_3$ Strings from Free Fields

JM Figueroa-O'Farrill; CM Hull; L Palacios; E Ramos

doi:10.1142/s0217732395000557

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arXiv · hep-th/9409129

Generalized $\W_3$ Strings from Free Fields

JM Figueroa-O'Farrill·CM Hull·L Palacios·E Ramos

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Abstract

The conventional quantization of w_3 strings gives theories which are equivalent to special cases of bosonic strings. We explore whether a more general quantization can lead to new generalized W_3 string theories by seeking to construct quantum BRST charges directly without requiring the existence of a quantum W_3 algebra. We study W_3-like strings with a direct spacetime interpretation---that is, with matter given by explicit free field realizations. Special emphasis is placed on the attempt to construct a quantum W-string associated with the magic realizations of the classical w_3 algebra. We give the general conditions for the existence of W_3-like strings, and comment how the known results fit into our general construction. Our results are negative: we find no new consistent string theories, and in particular rule out the possibility of critical strings based on the magic realizations.

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JM Figueroa-O'Farrill, CM Hull, L Palacios, E Ramos. 1994-09-21. Generalized $\W_3$ Strings from Free Fields. https://doi.org/10.1142/s0217732395000557

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