## Massless scalar free Field in 1+1 dimensions II: Net Cohomology and . . . (2008)

Citations: | 3 - 0 self |

### BibTeX

@MISC{Ciolli08masslessscalar,

author = {Fabio Ciolli},

title = {Massless scalar free Field in 1+1 dimensions II: Net Cohomology and . . . },

year = {2008}

}

### OpenURL

### Abstract

As an application of Roberts’ net cohomology theory, we positively answer about the completeness of the known set of DHR sectors of the observables of the model in the title, detailed in [7]. This result is achieved via the triviality of the 1-cohomology of the underlying causal index poset with values in the field net, enhancing this tool for the case of Weyl nets not satisfying the split property and with anyonic commutation rules. We also take advantage of different causal index posets for the nets involved, and obtain the description of the twisted and untwisted sectors of the