Abstract
In this chapter we introduce a number of notational conventions, describe our primary object of study—the (0,2) supersymmetry algebra, and give a Lagrangian field realization of this structure.
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- 1.
The Grassmann coordinates \(\theta ^+,\overline {\theta }^+\) transform under global Lorentz transformations as duals to the ψ + spinors introduced above. The geometry of supermanifolds governs the extension of this structure to local Lorentz invariance [391]. These ideas play an important role in covariant string perturbation theory.
- 2.
We have slightly different conventions for the light-cone and conversions of bispinors from [158] that account for the different factors here and in the algebra below.
- 3.
The case when \({{\boldsymbol {Q}}}^{\prime }_+\) is not spontaneously broken is what is sometimes referred to as “partial supersymmetry breaking.” We will not use this terminology.
- 4.
The bars now do double-duty: they distinguish the components of the Weyl fermions, and they distinguish the world-sheet complex coordinates.
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Melnikov, I.V. (2019). (0,2) Fundamentals. In: An Introduction to Two-Dimensional Quantum Field Theory with (0,2) Supersymmetry. Lecture Notes in Physics, vol 951. Springer, Cham. https://doi.org/10.1007/978-3-030-05085-6_1
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DOI: https://doi.org/10.1007/978-3-030-05085-6_1
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