71,898 research outputs found
Equivalence classes for gauge theories
In this paper we go deep into the connection between duality and fields
redefinition for general bilinear models involving the 1-form gauge field .
A duality operator is fixed based on "gauge embedding" procedure. Dual models
are shown to fit in equivalence classes of models with same fields
redefinitions
Equivalence Classes of Staged Trees
In this paper we give a complete characterization of the statistical
equivalence classes of CEGs and of staged trees. We are able to show that all
graphical representations of the same model share a common polynomial
description. Then, simple transformations on that polynomial enable us to
traverse the corresponding class of graphs. We illustrate our results with a
real analysis of the implicit dependence relationships within a previously
studied dataset.Comment: 18 pages, 4 figure
Classification of Pointed Fusion Categories of dimension 8 up to weak Morita Equivalence
In this paper we give a complete classification of pointed fusion categories
over of global dimension 8. We first classify the equivalence
classes of pointed fusion categories of dimension 8, and then we proceed to
determine which of these equivalence classes have equivalent categories of
modules. This classificaction permits to classify the equivalence classes of
braded tensor equivalences of twisted Drinfeld doubles of finite groups of
order 8.Comment: 16 page
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