Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-14
J.Phys.A32:8831-8850,1999
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, REVTeX; reorganized and expanded version; includes a new section on unitary minimal models; conjectures reformulated
Scientific paper
10.1088/0305-4470/32/50/305
Conformally invariant boundary conditions for minimal models on a cylinder are classified by pairs of Lie algebras $(A,G)$ of ADE type. For each model, we consider the action of its (discrete) symmetry group on the boundary conditions. We find that the invariant ones correspond to the nodes in the product graph $A \otimes G$ that are fixed by some automorphism. We proceed to determine the charges of the fields in the various Hilbert spaces, but, in a general minimal model, many consistent solutions occur. In the unitary models $(A,A)$, we show that there is a unique solution with the property that the ground state in each sector of boundary conditions is invariant under the symmetry group. In contrast, a solution with this property does not exist in the unitary models of the series $(A,D)$ and $(A,E_6)$. A possible interpretation of this fact is that a certain (large) number of invariant boundary conditions have unphysical (negative) classical boundary Boltzmann weights. We give a tentative characterization of the problematic boundary conditions.
No associations
LandOfFree
Symmetric boundary conditions in boundary critical phenomena 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 Symmetric boundary conditions in boundary critical phenomena, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric boundary conditions in boundary critical phenomena will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-389105