Super pp^-branes as Gauge Theories of Volume Preserving Diffeomorphisms

Oct, 1988
32 pages
Published in:
  • Annals Phys. 199 (1990) 340
Report number:
  • IC/88/186

Citations per year

1990199920082017202502468
Abstract: (Elsevier)
We obtain the light-cone gauge-fixed action for a super p -brane. For p = 2 it is known that the action is equivalent to that of a one-dimensional super-Yang-Mills theory of the (infinite dimensional) area preserving diffeomorphism group of the membrane. We show that for p > 2 the action is that of a new kind of supersymmetric gauge theory of p -volume-preserving diffeomorphisms that is not of Yang-Mills type, and we conjecture that it is related to an infinite-dimensional non-Abelian antisymmetric tensor gauge theory. We compute the classical algebra of the supersymmetry charges and generators of the volume preserving diffeomorphisms, and show that it does not allow central extensions.
  • membrane model: p-brane
  • supersymmetry: algebra
  • gauge field theory: diffeomorphism