A. Zee, Quantum Field Theory in a Nutshell · Problem VIII.4.2

Field Theory Redux

Physics — QFT

Problem

In general there may be

N

supercharges

Q_\alpha^I

, with

I = 1, \ldots, N

. Show that we can have

\{Q_\alpha^I, Q_\beta^J\} = \epsilon_{\alpha\beta} Z^{IJ}

, where

Z^{IJ}

denotes c-numbers known as central charges.