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arXiv · 1610.03251

Supersymmetry in Open Superstring Field Theory

Theodore Erler
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Abstract

We realize the 16 unbroken supersymmetries on a BPS D-brane as invariances of the action of the corresponding open superstring field theory. We work in the small Hilbert space approach, where a symmetry of the action translates into a symmetry of the associated cyclic $A_\infty$ structure. We compute the supersymmetry algebra, being careful to disentangle the components which produce a translation, a gauge transformation, and a symmetry transformation which vanishes on-shell. Via the minimal model theorem, we illustrate how supersymmetry of the action implies supersymmetry of the tree level open string scattering amplitudes.

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Theodore Erler. 2016-10-11. Supersymmetry in Open Superstring Field Theory. https://doi.org/10.1007/jhep05(2017)113

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