Worldsheets with extended supersymmetry
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 multiples 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 Nsupersymmetric generalization of the Beltrami differential. In a Lagrangian approach, and after gaugefixing, it becomes the supermoduli 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 >>> 3, and their possible link to topological 2Dgravity coupled to topological sigma models, are shown by straightforward algebraic considerations.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(96)014657
 arXiv:
 arXiv:hepth/9609207
 Bibcode:
 1997PhLB..391..295B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages, Latex. A section on the connection to topological action is added