Cardy states as idempotents of fusion ring in string field theory

Details Cardy states as idempotents of fusion ring in string field theory Cardy states as idempotents of fusion ring in string field theory

2004-02-14

arxiv.org/abs/hep-th/0402107v1

Phys.Lett. B590 (2004) 303-308

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1016/j.physletb.2004.03.074

With some assumptions, the algebra between Ishibashi states in string field theory can be reduced to a commutative ring. From this viewpoint, Cardy states can be identified with its idempotents. The algebra can be identified with a fusion ring for the rational conformal field theory and a group ring for the orbifold. This observation supports our previous observation that boundary states satisfy a universal idempotency relation under closed string star product.

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