scholarly journals Non-linear representations of extended supersymmetry with central charges

1983 ◽  
Vol 19 (3) ◽  
pp. 267-273 ◽  
Author(s):  
S. Ferrara ◽  
L. Maiani ◽  
P. C. West
Keyword(s):  
Extended Supersymmetry ◽  
Linear Representations ◽  
Non Linear

Non-linear representations of inhomogeneous groups

1978 ◽  
Vol 2 (6) ◽  
pp. 499-504 ◽  
Author(s):  
Georges Pinczon ◽  
Jacques Simon
Keyword(s):  
Linear Representations ◽  
Non Linear

The analysis of Westphalian German Spirantization

Diachronica ◽  
2014 ◽  
Vol 31 (2) ◽  
pp. 223-266 ◽  
Author(s):  
T. Alan Hall
Keyword(s):  
Present Article ◽  
Short Vowel ◽  
Linear Representations ◽  
Crucial Component ◽  
Non Linear ◽  
New Treatment

Westphalian German Spirantization refers to the change from an original prevocalic long vowel to the corresponding short vowel plus fricative (i.e. [ɣ]). For example, the [ɪɣ] sequence in the Westphalian word [klɪɣə] “bran” derived historically from [iː]. The present article offers a new treatment for the historical shift from [iː] to [ɪɣ] — as well as similar ones involving other vowels — which breaks the process down into five separate changes. It is argued that each of these changes modified non-linear representations involving syllables, moras and segmental features. A crucial component of the proposed analysis is that each of the five changes is seen as a repair to a constraint.

scholarly journals Reflected ray retrieval from radio occultation data using radio holographic filtering of wave fields in ray space

2017 ◽  
Author(s):  
Michael E. Gorbunov ◽  
Estel Cardellach ◽  
Kent B. Lauritsen
Keyword(s):  
Radio Occultation ◽  
Wigner Distribution ◽  
Fourier Integral ◽  
Automatic Identification ◽  
Fourier Integral Operators ◽  
Reflection Index ◽  
Wave Fields ◽  
Linear Representations ◽  
Non Linear ◽  
Occultation Data

Abstract. Linear and non-linear representations of wave fields constitute the basis of modern algorithms for analysis of radio occultation (RO) data. Linear representations are implemented by Fourier Integral Operators, which allow for high-resolution retrieval of bending angles. Non-linear representations include Wigner Distribution Function (WDF), which equal the pseudo-density of energy in the ray space. Representations allow for filtering wave fields by suppressing some areas of the ray space and mapping the field back from the transformed space to the initial one. We apply this technique to the retrieval of reflected rays from RO observations. The use of reflected rays may increase the accuracy of the retrieval of the atmospheric refractivity. Reflected rays can be identified by the visual inspection of WDF or spectrogram plots. Numerous examples from COSMIC data indicate that reflections are mostly observed over oceans or snow, in particular, over Antarctica. We introduce the reflection index that characterizes the relative intensity of the reflected ray with respect to the direct ray. The index allows for the automatic identification of events with reflections. We use the radio holographic estimate of the errors of the retrieved bending angle profiles of reflected rays. A comparison of indices evaluated for a large base of events including the visual identification of reflections indicated a good agreement.

scholarly journals Non linear representations of Lie groups

1977 ◽  
Vol 10 (3) ◽  
pp. 405-418 ◽  
Author(s):  
Moshé Flato ◽  
Georges Pinczon ◽  
Jacques Simon
Keyword(s):  
Lie Groups ◽  
Linear Representations ◽  
Non Linear ◽  
Representations Of Lie Groups

scholarly journals Reflected ray retrieval from radio occultation data using radio holographic filtering of wave fields in ray space

2018 ◽  
Vol 11 (2) ◽  
pp. 1181-1191 ◽  
Author(s):  
Michael E. Gorbunov ◽  
Estel Cardellach ◽  
Kent B. Lauritsen
Keyword(s):  
Radio Occultation ◽  
Wigner Distribution ◽  
Fourier Integral ◽  
Automatic Identification ◽  
Fourier Integral Operators ◽  
Reflection Index ◽  
Wave Fields ◽  
Linear Representations ◽  
Non Linear ◽  
Occultation Data

Abstract. Linear and non-linear representations of wave fields constitute the basis of modern algorithms for analysis of radio occultation (RO) data. Linear representations are implemented by Fourier Integral Operators, which allow for high-resolution retrieval of bending angles. Non-linear representations include Wigner Distribution Function (WDF), which equals the pseudo-density of energy in the ray space. Representations allow for filtering wave fields by suppressing some areas of the ray space and mapping the field back from the transformed space to the initial one. We apply this technique to the retrieval of reflected rays from RO observations. The use of reflected rays may increase the accuracy of the retrieval of the atmospheric refractivity. Reflected rays can be identified by the visual inspection of WDF or spectrogram plots. Numerous examples from COSMIC data indicate that reflections are mostly observed over oceans or snow, in particular over Antarctica. We introduce the reflection index that characterizes the relative intensity of the reflected ray with respect to the direct ray. The index allows for the automatic identification of events with reflections. We use the radio holographic estimate of the errors of the retrieved bending angle profiles of reflected rays. A comparison of indices evaluated for a large base of events including the visual identification of reflections indicated a good agreement with our definition of reflection index.

c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY

1990 ◽  
Vol 05 (08) ◽  
pp. 561-580 ◽  
Author(s):  
SATORU ODAKE
Keyword(s):  
Extended Supersymmetry ◽  
Representation Theory ◽  
Central Charge ◽  
Superconformal Algebra ◽  
Conformal Algebra ◽  
Spectral Flow ◽  
Modular Transformation ◽  
Non Linear ◽  
Character Formulas

We define a superconformal algebra with the central charge c=3d, which is the symmetry of the non-linear σ model on a complex d dimensional Calabi-Yau manifold. The c=3d algebra is an extended superconformal algebra obtained by adding the spectral flow generators to the N=2 superconformal algebra. We study the representation theory and show that its representations are invariant under the integer-shift spectral flow. We present the character formulas and their modular transformation properties. We also discuss the relation to the N=4 superconformal algebra.

scholarly journals Non-linear representations of the conformal group and mapping of galileons

2013 ◽  
Vol 2013 (10) ◽  
Author(s):  
Paolo Creminelli ◽  
Marco Serone ◽  
Enrico Trincherini
Keyword(s):  
Conformal Group ◽  
Linear Representations ◽  
Non Linear
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