Cardy states as idempotents of fusion ring in string field theory
arXiv:hep-th/0402107 · doi:10.1016/j.physletb.2004.03.074
Abstract
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.
arXiv comment8 pages
References in corpus (10)
- Introduction to string field theory
- Closed String Field Theory: Quantum Action and the BV Master Equation
- Noncommutative Solitons
- Boundary Conditions in Rational Conformal Field Theories
- D-branes and Discrete Torsion II
- D-branes and Strings as Non-commutative Solitons
- Fusion rules in conformal field theory
- Orbifold boundary states from Cardy's condition
- Boundary states as exact solutions of (vacuum) closed string field theory
- A universal nonlinear relation among boundary states in closed string field theory
Cited by in corpus (6)
- Cardy states, factorization and idempotency in closed string field theory
- D-branes and Closed String Field Theory
- Observables and Correlation Functions in OSp Invariant String Field Theory
- Boundary state in open string channel and open/closed string field theory
- D-branes and Closed String Field Theory
- Entropic order parameters and topological holography