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arXiv · hep-th/9912153

Manifest Supersymmetry in Non-Commutative Geometry

Chong-Sun Chu·Frederic Zamora
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Abstract

We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables of superspace remain unmodified. We also derive the unbroken supersymmetry algebra living on the D-brane. This establishes how the Moyal product is extended in a superspace formulation of non-commutative field theories. The superfield formulation of non-commutative supersymmetric field theories is briefly considered.

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Chong-Sun Chu, Frederic Zamora. 1999-12-23. Manifest Supersymmetry in Non-Commutative Geometry. https://doi.org/10.1088/1126-6708%2F2000%2F02%2F022

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