The Orbifold-String Theories of Permutation-Type: III. Lorentzian and Euclidean Space-Times in a Large Example - High Energy Physics - Theory

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Abstract: To illustrate the general results of the previous paper, we discuss here alarge concrete example of the orbifold-string theories of permutation-type. Foreach of the many subexamples, we focus on evaluation of the \emph{targetspace-time dimension} $\hat{D} j\sigma$, the \emph{target space-timesignature} and the \emph{target space-time symmetry} of each cycle $j$ in eachtwisted sector $\sigma$. We find in particular a gratifying \emph{space-timesymmetry enhancement} which naturally matches the space-time symmetry of eachcycle to its space-time dimension. Although the orbifolds of$\Z {2}$-permutation-type are naturally Lorentzian, we find that the targetspace-times associated to larger permutation groups can be Lorentzian,Euclidean and even null \hat{D} {j}\sigma=0, with varying space-timedimensions, signature and symmetry in a single orbifold.

Autor: M.B. Halpern

Fuente: https://arxiv.org/