Superspace geometrical representations of extended super Virasoro algebras

Jun, 1998
13 pages
Published in:
  • Phys.Lett.B 438 (1998) 80-88
e-Print:
Report number:
  • UMDEPP-98-114

Citations per year

199920052011201720211402
Abstract: (Elsevier)
Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a) the 1D, N -extended superconformal algebra, (b) the 1D, N -extended super Virasoro algebra for N=1, 2, and 4 and (c) a geometrical realization ( G R ) covering algebra that contains the super Virasoro algebra for arbitrary values of N . By use of such vector fields, the super Virasoro algebra is embedded as a geometrical and model-independent structure in 1D and 2D ℵ 0 -extended superspace.
Note:
  • 13 pages, Latex
  • supersymmetry: superspace
  • algebra: Virasoro
  • algebra: representation
  • algebra: deformation
  • transformation: conformal