Anomalus BRST Complexes for Non-Critical Massive Strings

TL;DR

This paper demonstrates a consistent BRST resolution for non-critical massive string models, introducing anomalus complexes via canonical restrictions and analyzing their cohomologies in detail.

Contribution

It introduces a novel BRST complex construction for anomalus non-critical strings without modifying the matter sector.

Findings

Cohomologies of the anomalus complex are explicitly calculated.

The construction is consistent and preserves the matter sector.

Provides a detailed analysis of the cohomological structure.

Abstract

It is shown that the BRST resolution of the spaces of physical states of non-critical (anomalus) massive string models can be consistently defined. The appropriate anomalus complexes are obtained by canonical restrictions of the ghost extended spaces to the kernel of curvature operator and additional Gupta-Bleuler like conditions without any modifications of the matter sector. The cohomologies of the polarized anomalus complex are calculated and analyzed in details.