Conformally gauge-fixed Polyakov D1-brane action in the presence of a 2-form gauge field: the instant-form and front-form Hamiltonian and path integral formulations

The conformally gauge-fixed Polyakov D1-brane action (CGFPD1BA) describing a gauge-noninvariant (GNI) theory (being a gauge-fixed theory) is seen to describe a gauge-invariant (GI) theory in the presence of an antisymmetric 2-form gauge field Bαβ.The 2-form gauge field is seen to behave like a Wess–Zumino (WZ) field and the term involving this field is seen to behave like a WZ term for the CGFPD1BA. In this Letter we investigate the instant-form and front-form Hamiltonian and path integral formulations of this GI theory describing the CGFPD1BA in the presence of a constant 2-form gauge-field, in the absence of boundary conditions, under appropriate gauge-fixing conditions.