Supersymmetry in the line/surface functional theory of strings and p-branes.

Abstract

In previous papers, a line/surface functional theory was proposed as a field theory of geometric strings and $p$-branes. It was shown that for toroidal $p$-branes in $d=p+2$ dimensions, the field equations can be exactly solved, yielding equally spaced mass-squared spectrum with massless ground states. In this paper, we show that these results are the manifestation of $N=p+1$ hidden super-symmetries in the theory. For the line functional theory ($p=1$), we also work out the superalgebra satisfied by the two supercharges and the total angular momentum operator.