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Boundary states in coset conformal field theories

Hiroshi Ishikawa
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Abstract

We construct various boundary states in the coset conformal field theory G/H. The G/H theory admits the twisted boundary condition if the G theory has an outer automorphism of the horizontal subalgebra that induces an automorphism of the H theory. By introducing the notion of the brane identification and the brane selection rule, we show that the twisted boundary states of the G/H theory can be constructed from those of the G and the H theories. We apply our construction to the su(n) diagonal cosets and the su(2)/u(1) parafermion theory to obtain the twisted boundary states of these theories.

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Hiroshi Ishikawa. 2003-07-14. Boundary states in coset conformal field theories. https://doi.org/10.1016/s0550-3213(02)00131-1

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