Two series of W-algebras with two generators are constructed from chiral vertex operators of a free field representation. If c = 1 − 24k, there exists a W(2, 3k) algebra for k ∈ ZZ+/2 and a W(2, 8k) algebra for k ∈ ZZ+/4. All possible lowestweight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theor...

The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [ I , II , IV ] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the...

The aim of this lecture is to present the concept of C-algebra and to illustrate its applications in two contexts: the study of reflection groups and their folding on the one hand, the structure of rational conformal field theories on the other. For simplicity the discussion is restricted to finite Coxeter groups and conformal theories with a sl(2) current algebra, but it may be extended to a l...

Several philosophers have argued that de se beliefs—one’s thoughts about oneself in a characteristically ‘first-personal’ way—have special features that set them apart from other kinds of belief. Frege famously seemed to argue that everyone’s thoughts about themselves are distinct, and unshareable. Other philosophers have argued that some de se beliefs require a refinement of attitudinal conten...

Although firms have been distributing dividends to their shareholders for four centuries (Baskin, 1988), the motivation for this corporate policy is under debate in the academic community. In an early paper, Black (1976, p. 5) coined the term the “dividends puzzle” to illustrate the poor understanding of dividend payment policy: “The harder we look at the dividend picture, the more it seems lik...

Existing theories of stereotype change have often made use of categorisation principles in order to provide qualitative explanations for both the revision and maintenance of stereotypical beliefs. The present paper examines the quantitative methods underlying these explanations, contrasting both rational and heuristic models of stereotype change using participant data and model fits. In a compa...

Two series of W-algebras with two generators are constructed from chiral vertex operators of a free field representation. If c = 1 − 24k, there exists a W(2, 3k) algebra for k ∈ ZZ+/2 and a W(2, 8k) algebra for k ∈ ZZ+/4. All possible lowest-weight representations, their characters and fusion rules are calculated proving that these theories are rational. It is shown, that these non-unitary theo...

In this paper we present a novel ontology-based model for the representation of the dramatic features of narrative media (video, text, audio, etc.), focused on the notions of the character’s motivated actions. We describe the theoretical background, composed of narratological theories and rational agent theories, that support the proposed ontological formalization. We sketch the ontology and an...

We present the construction of the candidate conformal field theories dual to AdS4 non-maximally supersymmetric compactifications of 11D supergravity. We compare the spectra of the two theories and discuss the realization of the baryonic symmetries. Finally we comment the presence in the spectrum of long multiplets with rational energies, trying to explain their existence.

We briefly review these low-energy effective theories for the quantum Hall effect, with emphasis and language familiar to field theorists. Two models have been proposed for describing the most stable Hall plateaus (the Jain series): the multi-component Abelian theories and the minimal W1+∞ models. They both lead to a-priori classifications of quantum Hall universality classes. Some experiments ...