Intertwiners in Orbifold Conformal Field Theories

Following on from earlier work relating modules of meromorphic bosonic conformal field theories to states representing solutions of certain simple equations inside the theories, we show, in the context of orbifold theories, that the intertwiners between twisted sectors are unique and described explicitly in terms of the states corresponding to the relevant modules. No explicit knowledge of the structure of the twisted sectors is required. Further, we propose a general set of sufficiency conditions, illustrated in the context of a third order no-fixed-point twist of a lattice theory, for verifying consistency of arbitrary orbifold models in terms of the states representing the twisted sectors.Comment: 18 pages LaTeX. To appear in Nuclear Physics

We Are Union Builders Too: Oregon Union Tackles Discrimination Based on Sexual Orientation

[Excerpt] Most unionists agree that discrimination is a union issue. Unions have civil rights departments and push legislative agendas, but it\u27s the stewards who are on the front lines every day defending workers against discrimination on the job. But what if the steward speaks or acts in ways which exhibit bigoted attitudes? What does this do to the stewards\u27 overall effectiveness? How can the victim of discrimination be fully represented? How does the steward\u27s behavior reflect upon the union

Continuous Symmetries of Lattice Conformal Field Theories and their Z2Z_2-Orbifolds

Following on from a general observation in an earlier paper, we consider the continuous symmetries of a certain class of conformal field theories constructed from lattices and their reflection-twisted orbifolds. It is shown that the naive expectation that the only such (inner) symmetries are generated by the modes of the vertex operators corresponding to the states of unit conformal weight obtains, and a criterion for this expectation to hold in general is proposed.Comment: 15 page

On the Uniqueness of the Twisted Representation in the Z_2 Orbifold Construction of a Conformal Field Theory from a Lattice

Following on from recent work describing the representation content of a meromorphic bosonic conformal field theory in terms of a certain state inside the theory corresponding to a fixed state in the representation, and using work of Zhu on a correspondence between the representations of the conformal field theory and representations of a particular associative algebra constructed from it, we construct a general solution for the state defining the representation and identify the further restrictions on it necessary for it to correspond to a ground state in the representation space. We then use this general theory to analyze the representations of the Heisenberg algebra and its $Z_2$-projection. The conjectured uniqueness of the twisted representation is shown explicitly, and we extend our considerations to the reflection-twisted FKS construction of a conformal field theory from a lattice.Comment: 27 pages LaTeX. Typos corrected -- no major change