Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups

1975 ◽  
Author(s):  
Robert D. M. Accola
Keyword(s):  
Riemann Surfaces ◽  
Theta Functions ◽  
Automorphisms Groups

Elliptic Functions, Theta Functions, and Riemann Surfaces

1974 ◽  
Vol 28 (127) ◽  
pp. 875
Author(s):  
Y. L. L. ◽  
Harry E. Rauch ◽  
Aaron Lebowitz
Keyword(s):  
Riemann Surfaces ◽  
Theta Functions ◽  
Elliptic Functions

LEVEL-ONE SU(N) WZNW MODELS ON HIGHER-GENUS RIEMANN SURFACES

1993 ◽  
Vol 08 (17) ◽  
pp. 2955-2972 ◽  
Author(s):  
M. ALIMOHAMMADI ◽  
H. ARFAEI
Keyword(s):  
Partition Function ◽  
Simple Form ◽  
Riemann Surfaces ◽  
Theta Functions ◽  
Modular Invariance ◽  
Fusion Rules ◽  
Group Manifold ◽  
Special Cases ◽  
Wznw Model ◽  
Higher Genus

Using factorization properties and fusion rules, we find the higher-genus partition function and two-point correlators for the SU (N)1 WZNW model. The result has simple form in terms of higher-genus theta functions on the group manifold. The previously known results of SU (2)1 and SU (3)1 are also obtained as special cases. This method, combined with other considerations such as modular invariance, can be extended to the nonsimply laced groups and higher-level WZNW models.

scholarly journals On uniqueness of automorphisms groups of Riemann surfaces

2007 ◽  
pp. 793-810 ◽  
Author(s):  
Maximiliano Leyton A. ◽  
Rubén Hidalgo
Keyword(s):  
Riemann Surfaces ◽  
Automorphisms Groups

scholarly journals On automorphisms groups of cyclic p -gonal Riemann surfaces

2013 ◽  
Vol 57 ◽  
pp. 61-69 ◽  
Author(s):  
Gabriel Bartolini ◽  
Antonio F. Costa ◽  
Milagros Izquierdo
Keyword(s):  
Riemann Surfaces ◽  
Automorphisms Groups

scholarly journals On the Hyperelliptic Riemann Surfaces of Infinite Genus with Absolutely Convergent Riemann’s Theta Functions

1968 ◽  
Vol 33 ◽  
pp. 57-73 ◽  
Author(s):  
Kenichi Tahara
Keyword(s):  
Riemann Surface ◽  
Riemann Surfaces ◽  
Theta Functions ◽  
Hyperelliptic Riemann Surfaces ◽  
Hyperelliptic Riemann Surface ◽  
Closed Riemann Surface

The Riemann’s theta functions associated with a closed Riemann surface are absolutely convergent. In the present paper, we shall show an example of an hyperelliptic Riemann surface of infinite genus such that the Riemann’s theta functions associated with are absolutely convergent.

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