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arXiv · 1008.1453

The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST per Cycle per Sector

M. B. Halpern
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Abstract

We resume our discussion of the new orbifold-string theories of permutation-type, focusing in the present series on the algebraic formulation of the general bosonic prototype and especially the target space-times of the theories. In this first paper of the series, we construct one twisted BRST system for each cycle $j$ in each twisted sector $σ$ of the general case, verifying in particular the previously-conjectured algebra $[Q_{i}(σ),Q_{j}(σ)]_{+} =0$ of the BRST charges. The BRST systems then imply a set of extended physical-state conditions for the matter of each cycle at cycle central charge $\hat{c}_{j}(σ)=26f_{j}(σ)$ where $f_{j}(σ)$ is the length of cycle $j$.

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M. B. Halpern. 2010-08-09. The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST per Cycle per Sector. https://doi.org/10.1007/jhep11(2010)031

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