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arXiv · hep-th/9609207

Worldsheets with Extended Supersymmetry

Laurent Baulieu·Nobuyoshi Ohta
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Abstract

We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right sector are assembled into the components of a single $O(N)$-superfield. The component with ghost number zero of this superfield is the $N$-supersymmetric generalization of the Beltrami differential. In a Lagrangian approach, and after gauge-fixing, it becomes the super-moduli of Riemann surfaces coupled to local supersymmetry of rank $N$. It is also the source of all linear superconformal currents derived from ordinary operator product techniques. The interconnection between BRST invariant actions with different values of $N\geq 3$, and their possible link to topological 2D-gravity coupled to topological sigma models, are shown by straightforward algebraic considerations.

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Laurent Baulieu, Nobuyoshi Ohta. 1997-04-05. Worldsheets with Extended Supersymmetry. https://doi.org/10.1016/s0370-2693(96)01465-7

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