The N=2 Super-W₃⁽²⁾ Algebra

1994/02/10 by S. Krivonos, Krivonos, S., A. Sorin +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9402064

9 pages, LaTeX

arxiv created 1994/02/10 · arxiv updated 2009/11/30

Abstract

We construct the nonlinear N=2 super-W₃⁽²⁾ algebra with an arbitrary central charge at the classical level in the framework of Polyakov "soldering" procedure. It contains two non-intersecting subalgebras: N=2 superconformal algebra and W₃⁽²⁾ and their closure gives the N=2 super-W₃⁽²⁾ algebra. Besides the currents of N=2 superconformal and W₃⁽²⁾ algebras, it comprises two pairs of fermionic currents with spins 1 and 2. The hybrid field realization and contractions to the zero central charge are constructed.

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