CURIOSITIES AT C-EFFECTIVE=1

被引:7
作者
FLOHR, MAI
机构
关键词
D O I
10.1142/S0217732394000897
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The moduli space of all rational conformal quantum field theories with effective central charge c(eff) = 1 is considered. Whereas the space pf unitary theories essentially forms a manifold, the nonunitary ones form a fractal which lies dense in the parameter plane. Moreover, the points of this set are shown to be in one-to-one correspondence with the elements of the modular group for which an action on this set is defined.
引用
收藏
页码:1071 / 1082
页数:12
相关论文
共 10 条
[1]   INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].
BELAVIN, AA ;
POLYAKOV, AM ;
ZAMOLODCHIKOV, AB .
NUCLEAR PHYSICS B, 1984, 241 (02) :333-380
[2]   C = 1 CONFORMAL FIELD-THEORIES ON RIEMANN SURFACES [J].
DIJKGRAAF, R ;
VERLINDE, E ;
VERLINDE, H .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (04) :649-690
[3]   REPRESENTATIONS OF W-ALGEBRAS WITH 2 GENERATORS AND NEW RATIONAL MODELS [J].
EHOLZER, W ;
FLOHR, M ;
HONECKER, A ;
HUBEL, R ;
NAHM, W ;
VARNHAGEN, R .
NUCLEAR PHYSICS B, 1992, 383 (1-2) :249-288
[4]   W-ALGEBRAS, NEW RATIONAL MODELS AND COMPLETENESS OF THE C=1 CLASSIFICATION [J].
FLOHR, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 157 (01) :179-212
[5]  
Hua L.-K., 1982, INTRO NUMBER THEORY
[6]   A STUDY OF W-ALGEBRAS USING JACOBI IDENTITIES [J].
KAUSCH, HG ;
WATTS, GMT .
NUCLEAR PHYSICS B, 1991, 354 (2-3) :740-768
[7]   PROOF OF THE COMPLETENESS OF THE CLASSIFICATION OF RATIONAL CONFORMAL THEORIES WITH C = 1 [J].
KIRITSIS, EB .
PHYSICS LETTERS B, 1989, 217 (04) :427-430
[8]  
KIRITSIS EB, 1988, CALT681510 PREPR
[9]   NATURALITY IN CONFORMAL FIELD-THEORY [J].
MOORE, G ;
SEIBERG, N .
NUCLEAR PHYSICS B, 1989, 313 (01) :16-40
[10]   CHARACTERS AND REPRESENTATIONS OF NEW FERMIONIC W-ALGEBRAS [J].
VARNHAGEN, R .
PHYSICS LETTERS B, 1992, 275 (1-2) :87-92