The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $\mathbf{c=26}$ V. Cyclic Permutation Orbifolds

Details The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $\mathbf{c=26}$ V. Cyclic Permutation Orbifolds The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $\mathbf{c=26}$ V. Cyclic Permutation Orbifolds

2007-05-15

arxiv.org/abs/0705.2062v2

J.Math.Phys.48:122301,2007

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 4 figures

Scientific paper

10.1063/1.2824499

I consider the $\mathbb{Z}_\lambda,$ $\lambda$ prime free-bosonic permutation orbifolds as interacting physical string systems at $\hat{c} = 26\lambda $. As a first step, I introduce twisted tree diagrams which confirm at the interacting level that the physical spectrum of each twisted sector is equivalent to that of an ordinary $c=26$ closed string. The untwisted sectors are surprisingly more difficult to understand, and there are subtleties in the sewing of the loops, but I am able to propose provisional forms for the full modular-invariant cosmological constants and one-loop diagrams with insertions.

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