scholarly journals A QUANTUM ANALOG OF THE BOSON–FERMION CORRESPONDENCE

1995 ◽  
Vol 10 (07) ◽  
pp. 923-942 ◽  
Author(s):  
A. HAMID BOUGOURZI ◽  
LUC VINET
Keyword(s):  
Current Algebra ◽  
Quantum Case ◽  
Fermionic Field ◽  
Classical Correspondence ◽  
Quantum Current ◽  
Quantum Analog ◽  
Level 2

We review the classical boson-fermion correspondence in the context of the [Formula: see text] current algebra at level 2. This particular algebra is ideal for exhibiting this correspondence because it can be realized either in terms of three real bosonic fields or in terms of one real and one complex fermionic field. We also derive a fermionic realization of the quantum current algebra [Formula: see text] at level 2 and by comparing this realization with the existing bosonic one we extend the classical correspondence to the quantum case.

scholarly journals A FREE FIELD REPRESENTATION OF THE SCREENING CURRENTS OF $U_q (\widehat{{\rm sl}(3)})$

1995 ◽  
Vol 10 (04) ◽  
pp. 561-578 ◽  
Author(s):  
A. H. BOUGOURZI ◽  
ROBERT A. WESTON
Keyword(s):  
Current Algebra ◽  
Free Field ◽  
Quantum Affine Algebra ◽  
Affine Algebra ◽  
Field Representation ◽  
Independent Screening ◽  
Quantum Current ◽  
Quantum Analog ◽  
Wakimoto Realization ◽  
Infinite Sum

We construct five independent screening currents associated with the [Formula: see text] quantum current algebra. The screening currents are expressed as exponentials of the eight basic deformed bosonic fields that are required in the quantum analog of the Wakimoto realization of the current algebra. Four of the screening currents are "simple," in that each one is given as a single exponential field. The fifth is expressed as an infinite sum of exponential fields. For reasons which we will discuss, we expect that the structure of the screening currents for a general quantum affine algebra will be similar to the [Formula: see text] case.

W-ALGEBRA REALIZATIONS AND W-GRAVITY ANOMALIES

1991 ◽  
Vol 06 (32) ◽  
pp. 2995-3003 ◽  
Author(s):  
C. M. HULL ◽  
L. PALACIOS
Keyword(s):  
Path Integral ◽  
Current Algebra ◽  
Gravity Anomalies ◽  
Normal Ordering ◽  
Path Integral Quantization ◽  
Transformation Rules ◽  
Higher Derivative ◽  
Quantum Current ◽  
Boson Model ◽  
Background Charge

The coupling of scalars fields to chiral W3 gravity is reviewed. In general the quantum current algebra generated by the spin-two and three currents does not close when the "natural" regularization (corresponding to the normal ordering with respect to the modes of ∂ϕi) is used, and the non-closure reflects matter-dependent anomalies in the path integral quantization. We consider the most general modification of the current, involving higher derivative "background charge" terms, and find the conditions for them to form a closed algebra in the "natural" regularization. These conditions can be satisfied only for the two-boson model. In that case, it is possible to cancel all the matter-dependent anomalies by adding finite local counter terms to the action and modifying the transformation rules of the fields.

scholarly journals Quantum Current Algebra Symmetries and Integrable Many-Particle Schrödinger Type Quantum Hamiltonian Operators

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 975
Author(s):  
Dominik Prorok ◽  
Anatolij Prykarpatski
Keyword(s):  
Representation Theory ◽  
Current Algebra ◽  
Fock Space ◽  
Integrable Quantum ◽  
Quantum Hamiltonian ◽  
Quantum Symmetries ◽  
Sutherland Model ◽  
Quantum Current ◽  
Hamiltonian Operators

Based on the G. Goldin’s quantum current algebra symmetry representation theory, have succeeded in explaining a hidden relationship between the quantum many-particle Hamiltonian operators, defined in the Fock space, their factorized structure and integrability. Interesting for applications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries of the integrable quantum Calogero-Sutherland model are analyzed in detail.

scholarly journals Quantum current algebra for the AdS 5 × S 5 superstring

2010 ◽  
Vol 2010 (8) ◽  
Author(s):  
O. A. Bedoya ◽  
D. Z. Marchioro ◽  
D. L. Nedel ◽  
B. Carlini Vallilo
Keyword(s):  
Current Algebra ◽  
Quantum Current

scholarly journals DEFORMATION OF THE WAKIMOTO CONSTRUCTION

1993 ◽  
Vol 08 (08) ◽  
pp. 715-723 ◽  
Author(s):  
A. ABADA ◽  
A.H. BOUGOURZI ◽  
M.A. EL GRADECHI
Keyword(s):  
Current Algebra ◽  
Quantum Spin ◽  
Vertex Operators ◽  
Free Boson ◽  
Quantum Current ◽  
Boson Fields

We present the extension of the Wakimoto construction to the Uq( su (2)k) quantum current algebra and its associated Zk quantum parafermion algebra. This construction is achieved in terms of various deformations of three classical free boson fields. We also give the vertex operators corresponding to the quantum spin-j representation.

The use of scanning electron microscopy in interpreting chenopodium remains from three archaeological sites in northwestern Iowa

1992 ◽  
Vol 50 (2) ◽  
pp. 1112-1113
Author(s):  
Douglas William Jones
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Archaeological Sites ◽  
Late Prehistoric ◽  
Eastern United States ◽  
Chenopodium Berlandieri ◽  
Seed Identification ◽  
Level 2 ◽  
Scanning Electron

Within the past 20 years, archaeobotanical research in the Eastern United States has documented an early agricultural complex before the dominance of the Mesoamerican domesticates (corn, beans, and squash) in late prehistoric and historic agricultural systems. This early agricultural complex consisted of domesticated plants such as Iva annua var.macrocarpa (Sumpweed or Marshelder), Hellanthus annuus (Sunflower) and Chenopodium berlandieri, (Goosefoot or Lasbsquarters), and heavily utilized plants such as Polygonum erectum (Erect Knotweed), Phalaris caroliniana (May grass), and Hordeum pusillum (Little Barley).Recent research involving the use of Scanning Electron Microscopy (SEM) specifically on Chenopodium has established diagnostic traits of wild and domesticated species seeds. This is important because carbonized or uncarbonized seeds are the most commonly recovered Chenopodium material from archaeological sites. The diagnostic seed traits assist archaeobotanists in identification of Chenopodium remains and provide a basis for evaluation of Chenopodium utilization in a culture's subsistence patterns. With the aid of SEM, an analysis of Chenopodium remains from three Late Prehistoric sites in Northwest Iowa (Blood Run [Oneota culture], Brewster [Mill Creek culture], and Chan-Ya-Ta [Mill Creek culture]) has been conducted to: 1) attempt seed identification to a species level, 2) evaluate the traits of the seeds for classification as either wild or domesticated, and 3) evaluate the role of Chenopodium utilization in both the Oneota and Mill Creek cultures.

DSM-5 Level 2 Sleep Disorders Scale--Turkish Version

2018 ◽  
Author(s):  
Handan Özek Erkuran ◽  
Şermin Yalin Sapmaz ◽  
Ahmet Herdem ◽  
Masum Öztürk ◽  
Öznur Bilaç ◽  
...  
Keyword(s):  
Sleep Disorders ◽  
Turkish Version ◽  
Dsm 5 ◽  
Level 2
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