Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality

Details Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality

2007-11-23

arxiv.org/abs/0711.3541v3

Nucl.Phys.B801:268-295,2008

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure; v2 has several changes including more references and a new appendix; v3 has only minor changes (NPB publis

Scientific paper

10.1016/j.nuclphysb.2008.02.017

A natural construction of the logarithmic extension of the M(2,p) minimal models is presented, which generalises our previous model [0708.0802] of percolation (p=3). Its key aspect is the replacement of the minimal model irreducible modules by reducible ones obtained by requiring that only one of the two principal singular vectors of each module vanish. The resulting theory is then constructed systematically by repeatedly fusing these building block representations. This generates indecomposable representations of the type which signify the presence of logarithmic partner fields in the theory. The basic data characterising these indecomposable modules, the logarithmic couplings, are computed for many special cases and given a new structural interpretation. Quite remarkably, a number of them are presented in closed analytic form (for general p). These are the prime examples of ``gauge-invariant'' data - quantities independent of the ambiguities present in defining the logarithmic partner fields. Finally, mere global conformal invariance is shown to enforce strong constraints on the allowed spectrum: It is not possible to include modules other than those generated by the fusion of the model's building blocks. This generalises the statement that there cannot exist two effective central charges in a c=0 model. It also suggests the existence of a second ``dual'' logarithmic theory for each p. Such dual models are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362824