The orbifold-string theories of permutation-type: II. Cycle dynamics and target space-time dimensions

Abstract

We continue our discussion of the general bosonic prototype of the new orbifold-string theories of permutation type. Supplementing the extended physical-state conditions of the previous paper, we construct here the extended Virasoro generators with cycle central charge ${\hat{c}}_j(\sigma )=26f_j(\sigma )$, where $f_j(\sigma )$ is the length of cycle $j$ in twisted sector $\sigma$. We also find an equivalent, reduced formulation of each physical-state problem at reduced cycle central charge $c_j(\sigma )=26$. These tools are used to begin the study of the target space-time dimension ${\hat{D}}_j(\sigma )$ of cycle $j$ in sector $\sigma$, which is naturally defined as the number of zero modes (momenta) of each cycle. The general model-dependent formulae derived here will be used extensively in succeeding papers, but are evaluated in this paper only for the simplest case of the "pure" permutation orbifolds.

32 pages

References in corpus (5)

• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26 IV. Orientation Orbifolds Include Orientifolds
• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $c=26$ III. The Spectra of $\hat{c}=52$ Strings
• The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST per Cycle per Sector
• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26 II. The Twisted BRST Systems of \hatc=52 Matter
• The Orbifolds of Permutation-Type as Physical String Systems at Multiples of $\mathbf{c}=26$ V. Cyclic Permutation Orbifolds

Cited by in corpus (2)

• The Lorentzian Space-Times of the Orientation-Orbifold String Systems
• The Orbifold-String Theories of Permutation-Type: III. Lorentzian and Euclidean Space-Times in a Large Example