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 FUSION RULES FOR THE q-VERTEX OPERATORS OF ${\rm U}_q (\widehat{{\rm sl} (2)})$

1992 ◽  
Vol 07 (24) ◽  
pp. 2235-2243
Author(s):  
HIDETOSHI AWATA ◽  
YASUHIKO YAMADA
Keyword(s):  
Existence Condition ◽  
Null Vector ◽  
Vertex Operators ◽  
Fusion Rules

We analyze the properties of the q-vertex operators [Formula: see text] introduced by Frenkel and Reshetikhin. As the condition for the null vector decoupling, we derive the existence condition of the q-vertex operators (the fusion rules).

On: “Effect of temporal and spatial variations of the primary signal on VLF total‐field surveys” by M. A. Vallee, M. Chouteau, and G. J. Palacky (January 1992 GEOPHYSICS, p. 97‐105)

Geophysics ◽  
1993 ◽  
Vol 58 (5) ◽  
pp. 756-756 ◽  
Author(s):  
Jean Roy
Keyword(s):  
Numerical Modeling ◽  
Field Amplitude ◽  
Primary Field ◽  
Dense Network ◽  
Total Field ◽  
Field Surveys ◽  
Attitude Stability ◽  
Amplitude Data ◽  
Primary Signal ◽  
Temporal And Spatial

Vallee et al. (1992) remark on the sensitivity of airborne ratio measuring VLF instruments to platform attitude stability. The authors also remind the users of VLF total field amplitude data, as produced by instruments such as the Herz TOTEM, of two problems associated with this type of data: spatial and temporal fluctuations of the VLF primary field. They recommend the use of a dense network of VLF monitoring stations and numerical modeling of field propagation to cope with these problems. These two recommendations are briefly discussed here and one alternative recommendation is made.

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 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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