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

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.

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.

FUSION RULES FOR THE FRACTIONAL LEVEL $\widehat{{\rm sl}(2)}$ ALGEBRA

1992 ◽  
Vol 07 (13) ◽  
pp. 1185-1195 ◽  
Author(s):  
HIDETOSHI AWATA ◽  
YASUHIKO YAMADA
Keyword(s):  
Null Vector ◽  
Primary Field ◽  
Fusion Rules ◽  
Weyl Transformation ◽  
Interesting Structure

We derive, as the condition for the null vector decoupling, the fusion rules for the [Formula: see text] algebra with fractional level, which have an interesting structure related to affine Weyl transformation. It is shown that, to get non-trivial fusion rules, we must include the primary field which belongs to neither the highest nor the lowest weight representations.

scholarly journals Novel Fusion Rules for Discrete Wavelet Transformbased Image Fusion

2017 ◽  
Vol 10 (19) ◽  
pp. 1-6 ◽  
Author(s):  
Abhishek Sharma ◽  
Tarun Gulati ◽  
◽  
Keyword(s):  
Image Fusion ◽  
Discrete Wavelet ◽  
Fusion Rules

scholarly journals A reason for fusion rules to be even

2002 ◽  
Vol 35 (19) ◽  
pp. L255-L259 ◽  
Author(s):  
Jürgen Fuchs ◽  
Ingo Runkel ◽  
Christoph Schweigert
Keyword(s):  
Fusion Rules
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