Superconformal mechanics and nonlinear realizations

Oct, 1998
19 pages
Published in:
  • Phys.Rev.D 59 (1999) 084015
e-Print:
Report number:
  • FTUV-98-73,
  • IFIC-98-74,
  • DAMTP-1998-136

Citations per year

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Abstract:
The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the superparticle's angular momentum. The {\it non-manifest} superconformal invariance of the superpotential term is shown to lead to a shift in the SO(2) charge by the value of its coefficient, which we identify as the orbital angular momentum. The full SU(1,1|2)-invariant dynamics is found from an extension to N=4 superconformal mechanics.
Note:
  • 19 pages, plain latex file. Slightly shortened version, two references added
  • mechanics: conformal
  • supersymmetry
  • symmetry: SU(1,1|1)
  • representation: nonlinear
  • angular momentum
  • black hole: Reissner-Nordstroem
  • Wess-Zumino term
  • symmetry: OSp(1|2)
  • symmetry: OSp(2|2)