Novel construction of boundary states in coset conformal field theories
نویسندگان
چکیده
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 the simple currents on the boundary states plays an essential role in our construction. As an illustrative example for our procedure, we consider the diagonal coset SU(2)5 × SU(2)3/SU(2)8 to obtain a set of new boundary states based on the conformal embedding su(2)3 ⊕ su(2)8 ⊂ sp(6)1.
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 کاملTwisted boundary states in c = 1 coset conformal field theories
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 ...
متن کاملNew Spin - Two Gauged Sigma Models and General Conformal Field Theory
Recently, we have studied the general Virasoro construction at one loop in the background of the general non-linear sigma model. Here, we find the action formulation of these new conformal field theories when the background sigma model is itself conformal. In this case, the new conformal field theories are described by a large class of new spin-two gauged sigma models. As examples of the new ac...
متن کاملFinite Density States in Integrable Conformal Field Theories
We study states of large charge density in integrable conformal coset models. For the O(2) coset, we consider two different S-matrices, one corresponding to a Thirring mass perturbation and the other to the continuation to O(2+ ). The former leads to simplification in the conformal limit; the latter gives a more complicated description of the O(2) system, with a large zero mode sector in additi...
متن کاملTwo-Point Functions and Boundary States in Boundary Logarithmic Conformal Field Theories
Amongst conformal field theories, there exist logarithmic conformal field theories such as cp,1 models, various WZNW models, and a large variety of statistical models. It is well known that these theories generally contain a Jordan cell structure, which is a reducible but indecomposable representation. Our main aim in this thesis is to address the results and prospects of boundary logarithmic c...
متن کامل