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

Abstract

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.

46 pages, 4 figures

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Cited by in corpus (3)

• The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST per Cycle per Sector
• The orbifold-string theories of permutation-type: II. Cycle dynamics and target space-time dimensions
• The Orbifold-String Theories of Permutation-Type: III. Lorentzian and Euclidean Space-Times in a Large Example