scholarly journals Schur sector of Argyres-Douglas theory and $W$-algebra

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Dan Xie ◽  
Wenbin Yan
Keyword(s):  
Simple Form ◽  
Hypersurface Singularity ◽  
Two Dimensional

We study the Schur index, the Zhu’s C_2C2 algebra, and the Macdonald index of a four dimensional \mathcal{N}=2𝒩=2 Argyres-Douglas (AD) theories from the structure of the associated two dimensional WW-algebra. The Schur index is derived from the vacuum character of the corresponding WW-algebra and can be rewritten in a very simple form, which can be easily used to verify properties like level-rank dualities, collapsing levels, and S-duality conjectures. The Zhu’s C_2C2 algebra can be regarded as a ring associated with the Schur sector, and a surprising connection between certain Zhu’s C_2C2 algebra and the Jacobi algebra of a hypersurface singularity is discovered. Finally, the Macdonald index is computed from the Kazhdan filtration of the WW-algebra.

Two Dimensional Double-Quantum and COSY Spectra of Porcine Adenylate Kinase

1984 ◽  
Vol 39 (7-8) ◽  
pp. 738-741 ◽  
Author(s):  
Paul Rösch ◽  
Karl-Heinz Gross
Keyword(s):  
Simple Form ◽  
Adenylate Kinase ◽  
Nmr Spectra ◽  
Spin Systems ◽  
Double Quantum ◽  
Two Dimensional ◽  
Aromatic Residues ◽  
Aromatic Region ◽  
Cosy Nmr ◽  
Cosy Spectra

Abstract1H double-quantum and COSY NMR-spectra of the porcine protein adenylate kinase have been obtained in order to assign aromatic spin systems within this protein, which contains seven tyrosyl, five phenylalanyl, and two histidyl residues. Double-quantum spectroscopy in its simple form allowed the assignment of five connectivities in the aromatic region and therefore proved inferior to COSY, which allowed the assignment of connectivities within nine aromatic residues.

Note on ship oscillations and wake solitons

1991 ◽  
Vol 432 (1886) ◽  
pp. 535-546 ◽  
Keyword(s):  
Schrödinger Equation ◽  
Simple Form ◽  
Schrodinger Equation ◽  
Field Experiments ◽  
Nonlinear Schrodinger Equation ◽  
Source Mechanism ◽  
Two Dimensional ◽  
Sea Waves ◽  
Long Distance ◽  
Far Wake

Recent field experiments have shown that inside the Kelvin wake of a moving ship there can be two soliton-like envelopes, which extend to a long distance behind the ship. The source mechanism of these solitons has so far been attributed to the steady advance of a ship. In this note we suggest that ship oscillations, induced by ambient sea waves, provide a more plausible explanation for the initiation. Reducing the two-dimensional nonlinear Schrödinger equation to a simple form, we use existing theories to predict the wave envelopes in the far wake of a travelling ship in heave or pitch oscillations. While available data are insufficient to give a conclusive check of the theory, qualitative relevance is discussed.

scholarly journals TRACE ANOMALIES AND COCYCLES OF WEYL AND DIFFEOMORPHISMS GROUPS

1996 ◽  
Vol 11 (05) ◽  
pp. 409-421 ◽  
Author(s):  
D.R. KARAKHANYAN ◽  
R.P. MANVELYAN ◽  
R.L. MKRTCHYAN
Keyword(s):  
Partition Function ◽  
Weyl Group ◽  
Simple Form ◽  
General Structure ◽  
Consistency Condition ◽  
General Rule ◽  
Two Dimensional ◽  
Conformal Invariant ◽  
Trace Anomaly ◽  
Liouville Action

The general structure of trace anomaly, suggested recently by Deser and Schwimmer is argued to be the consequence of the Wess-Zumino consistency condition. The response of partition function on a finite Weyl transformation, which is connected with the cocycles of the Weyl group in d=2k dimensions is considered, and explicit answers for d=4, 6 are obtained. In particular, it is shown that addition of the special combination of the local counterterms leads to the simple form of that cocycle, quadratic over Weyl field σ, i.e. the form, similar to the two-dimensional Liouville action. This form also establishes the connection of the cocycles with conformal-invariant operators of order d and zero weight. We also give the general rule for transformation of that cocycles into the cocycles of diffeomorphisms group.

scholarly journals QUANTIZATION OF A LOCALLY SUPERSYMMETRIC FRIEDMANN MODEL IN THE PRESENCE OF SUPERMATTER

1995 ◽  
Vol 04 (02) ◽  
pp. 189-206 ◽  
Author(s):  
A.D.Y. CHENG ◽  
P.R.L.V. MONIZ
Keyword(s):  
General Theory ◽  
Simple Form ◽  
Quantum Cosmology ◽  
Scalar Fields ◽  
Quantum States ◽  
Spherically Symmetric ◽  
Two Dimensional ◽  
Complex Scalar ◽  
Special Case

The general theory of N=1 supergravity with supermatter is restricted to the special case of a k=+1 Friedmann minisuperspace model with complex scalar fields and fermionic partners. The different supermatter models are given by specifying a Kähler metric for the scalar fields. For the two-dimensional spherically symmetric and flat Kähler geometries new solutions for the quantum states are found. These are shown to have simple form. In particular, although they permit a Hartle-Hawking solution, they do not allow a wormhole state. The role of these solutions with regard to more general issues in supersymmetric quantum cosmology is also briefly discussed.

Some Notes on the Controllability, Zero-Controllability and Dead-Beat Controllable Estimator for 2D Behaviors on H0

2016 ◽  
Vol 13 (10) ◽  
pp. 7416-7425
Author(s):  
Guangchen Zhang ◽  
Weiqun Wang
Keyword(s):  
Control Problem ◽  
Simple Form ◽  
Latent Variables ◽  
Two Dimensional ◽  
Roesser Model ◽  
Two Systems ◽  
2D System ◽  
Equivalent Systems ◽  
The Relationship ◽  
Discrete Grid

This article presents some observations concerning two-dimensional (2D) behaviors control problem on the discrete grid H0. Firstly, controllability and zero-controllability of 2D behaviors on H0 are characterized. Two properties of 2D sub-behaviors on H0 are introduced and investigated in order to consider controllability and zero-controllability of latent variables in 2D system, and then used to investigate 2D Roesser model which has controllability and zero-controllability. Next, equivalent systems (ESs) are defined to represent two systems that have same behaviors, their property of maintaining controllability and zero-controllability is revealed. Such equivalence is then applied to find the simple form of controlled juxtaposition systems. Finally, issues on dead-beat controllable estimator behaviors are studied, such as the relationship between zero-controllable behavior and dead-beat controllable estimator behavior, the existence of dead-beat controllable estimator behavior, etc.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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