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

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 $\sigma$ of the general case, verifying in particular the previously-conjectured algebra $[Q_i(\sigma ),Q_j(\sigma ){]}_{+}=0$ 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 ${\hat{c}}_j(\sigma )=26f_j(\sigma )$ where $f_j(\sigma )$ is the length of cycle $j$.

31 pages

References in corpus (5)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• 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 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 (3)

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