Extra States and Symmetries in D<2 Closed String Theory

Abstract

We show that there is (p-1)(p'-1) dimensional semi-relative BRST cohomology at each non-positive ghost number in the (p,p') minimal conformal field theory coupled to two dimensional quantum gravity. These closed string states are related to currents and symmetry charges of `exotic' ghost number. We investigate the symmetry structure generated by the most conventional currents (those of vanishing total ghost number), and make a conjecture about the extended algebra which results from incorporating the currents at negative ghost number.

15 pages

References in corpus (4)

• Interaction of Discrete States in Two-Dimensional String Theory
• Ground Rings and Their Modules in 2D Gravity with $c\le 1$ Matter
• Ward Identities in Two-Dimensional String Theory
• Quantum Rings and Recursion Relations in 2D Quantum Gravity