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Ramond sector of superconformal algebras via quantum reduction

Mathematical Physics 2009-01-20 v2 High Energy Physics - Theory math.MP Representation Theory

Abstract

Quantum hamiltonian reduction of affine superalgebras is studied in the twisted case. The Ramond sector of "minimal" superconformal W-algebras is described in detail, the determinant formula is obtained. Extensive list of examples includes all the simple Lie superalgebras of rank up to 2. The paper generalizes the results of Kac and Wakimoto (math-ph/0304011) to the twisted case.

Keywords

Cite

@article{arxiv.math-ph/0408061,
  title  = {Ramond sector of superconformal algebras via quantum reduction},
  author = {Boris Noyvert},
  journal= {arXiv preprint arXiv:math-ph/0408061},
  year   = {2009}
}

Comments

50 pages, 8 figures; v2: examples added, determinant formula derivation modified, section order changed