STRING REPRESENTATION OF WILSON LOOPS

Abstract We explore the consequences of imposing Polyakov's zig/zag invariance in the search for a confining string. We first find that the requirement of zig/zag invariance seems to be incompatible with space-time supersymmetry. We then try to find zig/zag-invariant string backgrounds on which to implement the minimal-area prescription for the calculation of Wilson loops considering different possibilities.