WZW QUANTUM DIMENSIONS

1992 ◽  
Vol 06 (11n12) ◽  
pp. 1951-1965 ◽  
Author(s):  
JÜRGEN FUCHS
Keyword(s):  
Central Charge ◽  
Complete List ◽  
Fusion Rules ◽  
General Properties ◽  
Quantum Dimensions

Some aspects of quantum dimensions of primary fields of WZW theories are described. Quantum dimensions are an important tool in the analysis of the fusion rules, both for the description of general properties and for actual calculations. A complete list of WZW primaries having quantum dimension not larger than two is presented. An amazing connection between the presence of such fields and the value of the conformal central charge emerges.

scholarly journals DILOGARITHM IDENTITIES, FUSION RULES AND STRUCTURE CONSTANTS OF CFTs

1994 ◽  
Vol 09 (02) ◽  
pp. 133-141 ◽  
Author(s):  
MICHAEL TERHOEVEN
Keyword(s):  
Central Charge ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Fusion Rules ◽  
Conformal Field ◽  
Physics Literature ◽  
Structure Constants ◽  
Quantum Dimensions ◽  
Infinite Set ◽  
Modular Covariance

Recently dilogarithm identities have made their appearance in the physics literature. These identities seem to allow to calculate structure constants like, in particular, the effective central charge of certain conformal field theories from their fusion rules. In Ref. 12 a proof of identities of this type was given by considering the asymptotics of character functions in the so-called Rogers-Ramanujan sum form and comparing with the asymptotics predicted by modular covariance. Refining the argument, we obtain the general connection of quantum dimensions of certain conformal field theories to the arguments of the dilogarithm function in the identities in question and an infinite set of consistency conditions on the parameters of Rogers-Ramanujan type partitions for them to be modular covariant.

scholarly journals Quantum dimensions and fusion rules of the VOA VLC×Dτ

2016 ◽  
Vol 459 ◽  
pp. 309-349 ◽  
Author(s):  
Hsian-Yang Chen ◽  
Ching Hung Lam
Keyword(s):  
Fusion Rules ◽  
Quantum Dimensions

Thinking About Rural Development.—By Arther T. Mosher. New York: Agricultural Development Council, Inc., 1976. xii+pp.350.

1978 ◽  
Vol 17 (3) ◽  
pp. 382-383
Author(s):  
Javed Iqbal
Keyword(s):  
New York ◽  
Rural Development ◽  
Agricultural Development ◽  
Complete List ◽  
Basic Defect ◽  
Considerable Length ◽  
Selection Of

This book is essentially a selection of the articles written by Arther T. Mosher during his long career as a rural development expert. Also appended at the end is a complete list of writings by him. The Agricultural Development Council has chosen to publish this book to honour the author, who was its President during 1967-1973, The publication of this book is welcome in the context of the recent rediscovery of rural development as a principal plank of need-oriented develop¬ment strategies. A basic defect of writing on rural development has been excessive resort to stereotype rehtoric, over-enthusiasm and a certain pedanticism. Fortunately, Mosher's orientation is practical, not doctrinaire. Although the book is titled "Thinking About Rural Development", the author keeps on bring¬ing together the thinking and practice into their validly interactive perspectives. Not surprisingly so, for the author has himself worked in the field as a rural development practitioner for a considerable length of time.

Diatoms in waterbodies and watercourses of Privolzhskaya Hills (Penza Region)

2008 ◽  
Vol 42 ◽  
pp. 24-35
Author(s):  
M. S. Kulikovskiy
Keyword(s):  
Species Composition ◽  
Complete List ◽  
Russian Plain ◽  
Taxonomic Analysis

Species composition of diatoms from different waterbodies and watercourses Privolzhskaya Hills (Penza Region, Russian Plain, Russia) is studied. The complete list of revealed species of centric and pinnate diatoms (299 taxa) and a brief taxonomic analysis are given. The name Sellaphora bacilloides is validated.

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