Working in the axiomatic framework recently proposed by Gaberdiel and Goddard, we prove a generalized version of Zhu’s Theorem; for any chiral bosonic conformal field theory on the sphere, our result characterizes the chiral blocks in terms of a certain quotient of the Fock space. We also establish, under a finiteness hypothesis closely related to rationality of the theory, that the relevant Kn...

The purpose of this study is to analyze the set structure of the balance sheet and assets-claims on assets relationship, considering the dual concept of monetary units, the axiomatic theory and accountingspecific axioms. The structure of the balance sheet and assets-claims on assets relationship are examined using a rationalistic, analytical and deductive method; this method uses the axiomatic ...

The decomposition of an arbitrary axiomatic topological quantum field theory or TQFT into indecomposable theories is given. In particular, unitary TQFT’s in arbitrary dimensions are shown to decompose into a sum of theories in which the Hilbert space of the sphere is one-dimensional, and indecomposable two-dimensional theories are classified.

The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov–Witten classes, and a discussion of their properties for Fano varieties. Cohomological Field Theories are defined, and it is proved that tree level theories are determined by their cor...

I briefly review the properties of classical affine Toda field theories and indicate how some of this features survive in the quantum theory on-shell. I demonstrate how this knowledge can be extended off-shell, i.e. how to compute correlation functions for completely integrable models via the form factor approach. For the latter I present an axiomatic system and two explicit computation (the Si...

An axiomatic concept of quantum eld theory stochastic processes is introduced and some elementary properties of them are presented. The existence of the trace processes connected to Gibbs random elds obtained in Euclidean Quantum Field Theory is discussed. For particular twodimensional interactions the Markov property and continuity of paths of the corresponding trace processes have been obtain...

In this paper, an axiomatic theory is established for studying design. Using this theory, a formal model of design is derived to represent the syntactic structure of hierarchical evolving design objects and the dynamic design process. The axiomatic theory can be used by design theorists and computer scientists as a formal logical tool to model design whereas the derived formal model can be used...

In the field of Artificial Intelligence many models for decision making under uncertainty have been proposed that deviate from the traditional models used in Decision Theory, i.e. the Subjective Expected Utility (SEU) model and its many variants. These models, forming what is usually called "Qualitative Decision Theory", aim at obtaining simple decision rules that can be implemented by efficien...