Coset construction and character sum rules for the doubly extended N = 4 superconformal algebras
Abstract
Character sum rules associated with the realization of the N = 4 superconformal algebra Ã_{γ} on manifolds corresponding to the group cosets SU(3) _{k∼}^{+} / U(1) are derived and developed as an important tool in obtaining the modular properties of Ã_{γ} characters as well as information on certain extensions of that algebra. Their structure strongly suggests the existence of rational conformal field theories with central charges in the range 1 ⪕ c ⪕ 4. The corresponding characters appear in the massive sector of the sum rules and are completely specified in terms of the characters for the parafermionic theory SU(3)/(SU(2)×U(1)) and in terms of the branching functions of massless Ã_{γ} characters into SU(2) _{k∼+}× SU(2) _{1} characters.
 Publication:

Nuclear Physics B
 Pub Date:
 June 1993
 DOI:
 10.1016/05503213(93)901189
 arXiv:
 arXiv:hepth/9211122
 Bibcode:
 1993NuPhB.398..459P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 31 pages, DTP/92/49 NBIHE9273 (latex file)