Noether charges for SUSYBesides the BRST invariance, the flat space action is also invariant under the super-Poincare transformations. In particular, there are supersymmetries and which act as follows:
where and are constant Grassmann parameters.Consider the corresponding Noether charges. Important observation:
The Noether current of is holomorphic, and the Noether current of is anti-holomorphic.
We will call these Noether currents and respectively.