Discrete Torsion and Symmetric Products

Details Discrete Torsion and Symmetric Products Discrete Torsion and Symmetric Products

1999-12-13

arxiv.org/abs/hep-th/9912101v1

Physics

High Energy Physics

High Energy Physics - Theory

latex, 18 pages

Scientific paper

In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial two-cocycle of the permutation group. This discrete torsion changes the spins and statistics of corresponding second-quantized string theory making it essentially ``supersymmetric.'' The long strings of even length become fermionic (or ghosts), those of odd length bosonic. The partition function and elliptic genus can be described by a sum over stringy spin structures. The usual cubic interaction vertex is odd and nilpotent, so this construction gives rise to a DLCQ string theory with a leading quartic interaction.

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