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Advanced Topics in Quantum Field Theory by M. Shifman

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55 Digression: Two-dimensional supersymmetry

image

There is no genuine spin in two dimensions because there are no spatial rotations. Nevertheless spinors can be introduced. Moreover, in two dimensions one can require spinors to be both chiral and Majorana simultaneously. Therefore there exist a number of “exotic” supersymmetries. They will not be considered here. We will focus on the simplest cases, image = 1 (two real supercharges, one left-handed, one right-handed; this supersymmetry is also referred to as = (1, 1)), and = 2 (four real supercharges, or ...

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