7.1 Geometrical quantization

2005 ◽  
pp. 116-124
Author(s):  
A. Fechner
Keyword(s):  
Geometrical Quantization

Geometrical Quantization. i. Kinematical Quantization

2017 ◽  
pp. 477-488
Author(s):  
Edward Anderson
Keyword(s):  
Geometrical Quantization

Geometrical quantization of bosonic string with Wess-Zumino term on genus-gRiemann surface

1990 ◽  
Vol 41 (2) ◽  
pp. 472-477 ◽  
Author(s):  
Yu-liang Liu ◽  
Su-qing Chen ◽  
Guang-jiong Ni
Keyword(s):  
Bosonic String ◽  
Geometrical Quantization

The KN algebras and the geometrical quantization of heterotic strings

1993 ◽  
Vol 32 (11) ◽  
pp. 2161-2172
Author(s):  
Bang-qing Xu ◽  
Dian-yan Xu ◽  
Chang-giu Chao
Keyword(s):  
Heterotic Strings ◽  
Geometrical Quantization

Geometrical Quantization. ii. Dynamical Quantization

2017 ◽  
pp. 489-492
Author(s):  
Edward Anderson
Keyword(s):  
Geometrical Quantization

GEOMETRICAL QUANTIZATION AND SHAPE EFFECTS OF SPIN-WAVE MODES

1971 ◽  
Vol 32 (C1) ◽  
pp. C1-1090-C1-1095 ◽  
Author(s):  
R. E. de WAMES ◽  
T. WOLFRAM
Keyword(s):  
Spin Wave ◽  
Shape Effects ◽  
Geometrical Quantization ◽  
Wave Modes

MATRIX MODELS AS INTEGRABLE SYSTEMS: FROM UNIVERSALITY TO GEOMETRODYNAMICAL PRINCIPLE OF STRING THEORY

1991 ◽  
Vol 06 (33) ◽  
pp. 3079-3090 ◽  
Author(s):  
A. GERASIMOV ◽  
YU. MAKEENKO ◽  
A. MARSHAKOV ◽  
A. MIRONOV ◽  
A. MOROZOV ◽  
...  
Keyword(s):  
Matrix Models ◽  
Continuum Limit ◽  
Borel Subgroup ◽  
Partition Functions ◽  
High Symmetry ◽  
Infinite Dimensional ◽  
Virasoro Group ◽  
Geometrical Quantization ◽  
String Models ◽  
Determinant Bundles

Matrix models are equivalent to certain integrable theories, partition functions being equal to certain τ-functions, i.e., the section of determinant bundles over infinite-dimensional Grassmannian. These τ-functions are evaluated at the points of Grassmannian, where high symmetry arises. In the case of one-matrix models the symmetry is isomorphic to Borel subgroup of a Virasoro group. The orbits of the group are in one-to-one correspondence with the types of "multicritical" behavior in the continuum limit. Interrelation between τ-functions in different models and their continuum limit is discussed in some details. We also discuss the implications for dynamical interpolation between various string models (CFT's), to be described in terms of geometrical quantization of Fairlie-like [Formula: see text]-algebras.

scholarly journals Representations of the compact quantum groupSU q(2) and geometrical quantization

1994 ◽  
Vol 100 (2) ◽  
pp. 921-927
Author(s):  
G. �. Arutyunov
Keyword(s):  
Geometrical Quantization
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