On generalized fractional superstring models and the associative division algebras

Details On generalized fractional superstring models and the associative division algebras On generalized fractional superstring models and the associative division algebras

Jan 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cqgra..17...43e&link_type=abstract

Classical and Quantum Gravity, Volume 17, Issue 1, pp. 43-54 (2000).

Physics

1

Scientific paper

A special subset of generalized fractional superstring models extending those of Argyres et al is studied. This subset concerns models based on SUK (K )/U (1)K -1 Gepner parafermions. It is shown that there exists a remarkable link between generalized fractional superstrings based on SUK (K )/U (1)K -1 Wess-Zumino-Witten theory with K = 2, 3 and 5, and the associative division algebras. These models have critical dimensions 10, 2 × 5 and 4 × 3, respectively, and are in one-to-one correspondence with real, Kähler, and hyper-Kähler target spaces. Moreover, we obtain field-theoretical realizations of c 0 = 4 super-W 3 and c 0 = 12 super-W 5 symmetries based on the K = 3 and 5 parafermions. It is also shown that the conformal anomaly of the parafermion ghosts of the worldsheet fractional supersymmetry is Cparaghost = 15 - K 2 .

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