Gauge-invariant action for superstring in Ramond–Ramond plane-wave background Original Research Article

We present an alternative form of gauge-invariant action for the superstring in the plane wave background with Ramond–Ramond (RR) five-form flux. The Wess–Zumino term is given explicitly in a bilinear form of the left-invariant currents by introducing a fermionic center to define the nondegenerate group metric. The reparametrization invariance generators, whose combinations are conformal generators, and fermionic constraints, half of which generate κ-symmetry, are obtained. Equations of motion are obtained in conformal-invariant and background-covariant manners.