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57
Fusion in coset CFT from admissible singularvector decoupling
, 2001
"... : Fusion rules for WessZuminoWitten (WZW) models at fractional level can be dened in two ways, with distinct results. The Verlinde formula yields fusion coecients that can be negative. These signs cancel in coset fusion rules, however. On the other hand, the fusion coecients calculated from decoup ..."
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Cited by 1 (1 self)
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decoupling of singular vectors are nonnegative. They produce incorrect coset fusion rules, however, when factorisation is assumed. Here we give two prescriptions that yield the correct coset fusion rules from those found for the WZW models by the decoupling method. We restrict to the Virasoro minimal models
A note on decoupling conditions for generic level ̂ sl(3)k and fusion rules, Nuclear Phys
 Proc. Natl. Acad
, 1990
"... We find the solution of the ̂ sl(3)k singular vector decoupling equations on 3–point functions for the particular case when one of the fields is of weight w0 ·kΛ0. The result is a function with nontrivial singularities in the flag variables, namely a linear combination of 2F1 hypergeometric functio ..."
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Cited by 5 (1 self)
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We find the solution of the ̂ sl(3)k singular vector decoupling equations on 3–point functions for the particular case when one of the fields is of weight w0 ·kΛ0. The result is a function with nontrivial singularities in the flag variables, namely a linear combination of 2F1 hypergeometric
Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector
, 2007
"... A four point function of basic NeveuSchwarz exponential fields is constructed in the N = 1 supersymmetric Liouville field theory. Although the basic NS structure constants were known previously, we present a new derivation, based on a singular vector decoupling in the NS sector. This allows to stay ..."
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Cited by 14 (3 self)
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A four point function of basic NeveuSchwarz exponential fields is constructed in the N = 1 supersymmetric Liouville field theory. Although the basic NS structure constants were known previously, we present a new derivation, based on a singular vector decoupling in the NS sector. This allows
On SU(2) WessZuminoWitten models and stochastic evolutions
, 2004
"... It is discussed how stochastic evolutions may be connected to SU(2) WessZuminoWitten models. Transformations of primary fields are generated by the Virasoro group and an affine extension of the Lie group SU(2). The transformations may be treated and linked separately to stochastic evolutions. A co ..."
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Cited by 3 (0 self)
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combination allows one to associate a set of stochastic evolutions to the affine Sugawara construction. The singularvector decoupling generating the KnizhnikZamolodchikov equations may thus be related to stochastic evolutions. The latter are based on an infinitedimensional Brownian motion. Keywords
REDUCTION OF THE KNIZHNIK ZAMOLODCHIKOV EQUATION – A WAY OF PRODUCING VIRASORO SINGULAR VECTORS ∗
, 1992
"... We prove that for (half) integer isospins the sl(2,CI) Knizhnik Zamolodchikov equation reduces to the decoupling equation coming from Benoit SaintAubin singular vectors. In the general case an algorithm is suggested which transforms, via the Knizhnik Zamolodchikov equation, a Kac Moody singula ..."
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We prove that for (half) integer isospins the sl(2,CI) Knizhnik Zamolodchikov equation reduces to the decoupling equation coming from Benoit SaintAubin singular vectors. In the general case an algorithm is suggested which transforms, via the Knizhnik Zamolodchikov equation, a Kac Moody
NMAT On ThreePhase Boundary Motion and the Singular Limit of a VectorValued Ginzburg
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
Landau Equation
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
EIGENSPACE ADAPTIVE FILTERING FOR EFFICIENT PREEQUALIZATION OF ACOUSTIC MIMO SYSTEMS
"... Preequalization of MIMO systems is required for a wide variety of applications, e. g. in channel equalization and spatial sound reproduction. However, traditional adaptive algorithms fail for channel numbers of some ten or more. It is shown that the problem becomes tractable by decoupling of the MI ..."
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Cited by 7 (6 self)
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of the MIMO adaptation problem, e. g. by a generalized singular value decomposition. This method is called eigenspace adaptive filtering. The required singular vectors depend on the unknown system response to be equalized. An reasonable approximation by dataindependent transformations is derived
Virasoro Symmetry in a 2hdimensional Model and Its Implications
, 2004
"... The set of two partial differential equations for the Appell hypergeometric function in two variables F4(α, β, γ, α + β − γ + 2 − h; x, y) is shown to arise as a null vector decoupling relation in a 2hdimensional generalisation of the Coulomb gas model. It corresponds to a level two singular vector ..."
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The set of two partial differential equations for the Appell hypergeometric function in two variables F4(α, β, γ, α + β − γ + 2 − h; x, y) is shown to arise as a null vector decoupling relation in a 2hdimensional generalisation of the Coulomb gas model. It corresponds to a level two singular
Controlling a Submerged Rigid Body: a Geometric Analysis
"... In this paper we analyze the equations of motion of a submerged rigid body. Our motivation is based on recent developments done in trajectory design for this problem. Our goal is to relate some properties of singular extremals to the existence of decoupling vector fields. The ideas displayed in thi ..."
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In this paper we analyze the equations of motion of a submerged rigid body. Our motivation is based on recent developments done in trajectory design for this problem. Our goal is to relate some properties of singular extremals to the existence of decoupling vector fields. The ideas displayed
Results 1  10
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57