Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-24
Nucl.Phys. B678 (2004) 363-397
Physics
High Energy Physics
High Energy Physics - Theory
39 pages, 5 figures; (v2) references added; (v3) improved argument about automorphism groups of coset theories given, no chang
Scientific paper
10.1016/j.nuclphysb.2003.11.011
We construct Cardy states in the Kazama-Suzuki model G/H x U(1), which satisfy the boundary condition twisted by the automorphisms of the coset theory. We classify all the automorphisms of G/H x U(1) induced from those of the G theory. The automorphism group contains at least a Z_2 as a subgroup corresponding to the charge conjugation. We show that in several models there exist extra elements other than the charge conjugation and that the automorphism group can be larger than Z_2. We give the explicit form of the twisted Cardy states which are associated with the non-trivial automorphisms. It is shown that the resulting states preserve the N=2 superconformal algebra. As an illustration of our construction, we give a detailed study for two hermitian symmetric space models SU(4)/SU(2) x SU(2) x U(1) and SO(8)/SO(6) x U(1) both at level one. We also study the action of the level-rank duality on the Cardy states and find the relation with the exceptional Cardy states originated from a conformal embedding.
Ishikawa Hiroshi
Tani Taro
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