Twisted boundary states in c = 1 coset conformal field theories
نویسنده
چکیده
We study the mutual consistency of twisted boundary conditions in the coset conformal field theory G/H. We calculate the overlap of the twisted boundary states of G/H with the untwisted ones, and show that the twisted boundary states are consistently defined in the diagonal modular invariant. The overlap of the twisted boundary states is expressed by the branching functions of a twisted affine Lie algebra. As a check of our argument, we study the diagonal coset theory so(2n)1 ⊕ so(2n)1/so(2n)2, which is equivalent with the orbifold S/Z2. We construct the boundary states twisted by the automorphisms of the unextended Dynkin diagram of so(2n), and show their mutual consistency by identifying their counterpart in the orbifold. For the triality of so(8), the twisted states of the coset theory correspond to neither the Neumann nor the Dirichlet boundary states of the orbifold and yield the conformal boundary states that preserve only the Virasoro algebra.
منابع مشابه
Boundary states in coset conformal field theories
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 automor-phism 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 b...
متن کاملNovel construction of boundary states in coset conformal field theories
We develop a systematic method to construct the boundary states in the coset conformal field theory G/H . Based on the relation of the G/H theory with the tensor product theory G×H , we give a map from the boundary states of G×H to those of G/H . Our map provides a large class of boundary states in coset theories, which include those not factorizable into the G and the H sectors. The action of ...
متن کاملSuperconformal current algebras and topological field theories
Topological conformal field theories based on superconformal current algebras are constructed. The models thus obtained are the supersymmetric version of the G/G coset theories. Their topological conformal algebra is generated by operators of dimensions 1, 2 and 3 and can be regarded as an extension of the twisted N = 2 superconformal algebra. These models possess an extended supersymmetry whos...
متن کامل6 O ct 1 99 8 ALGEBRAIC COSET CONFORMAL FIELD THEORIES
All unitary Rational Conformal Field Theories (RCFT) are conjectured to be related to unitary Coset Conformal Field Theories, i.e., gauged Wess-ZuminoWitten (WZW) models with compact gauge groups. In this paper we use subfactor theory and ideas of algebraic Quantum Field Theory (QFT) to approach Coset Conformal Field Theories. Two main conjectures are formulated and their consequences are discu...
متن کاملDynamics of D-branes in curved backgrounds
In recent years, the study of branes has led to many new insights into string and M-theory. Much of this study was done in the large-volume regime where geometric techniques provide reliable information. The extrapolation into the stringy regime usually requires new methods from boundary conformal field theory. Branes on group manifolds give us a good handle on this issue. Although they describ...
متن کامل