Boundary states in coset conformal field theories
High Energy Physics - Theory
2009-11-07 v3 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0111230,
title = {Boundary states in coset conformal field theories},
author = {Hiroshi Ishikawa},
journal= {arXiv preprint arXiv:hep-th/0111230},
year = {2009}
}
Comments
30 pages, latex2e; (v3) typos corrected in eqs.(3.24)(3.26)(3.27), no change in the results