GN ⊗ GL/GN+L CONFORMAL FIELD THEORIES AND THEIR MODULAR INVARIANT PARTITION FUNCTIONS
1989 ◽
Vol 04
(04)
◽
pp. 897-920
◽
Keyword(s):
We study a Feigin-Fuchs construction of conformal field theories based on a G ⊗ G/G coset space, in terms of screened bosons and parafermions. This allows us to get the formula for the conformal dimensions of primary operators. Lists of modular invariant partition functions for the SU(3), SO(5) and G2 Wess-Zumino-Witten models are given. Besides the principal series of diagonal invariants, a complementary series exists for SU(3) and SO(5), which is due to the outer automorphism of the Kac-Moody algebra. Moreover, exceptional solutions appear at levels 5, 9, 21 for SU(3), at levels 3, 7, 12 for SO(5) and at levels 3, 4 for G2. From these modular invariants, those for the corresponding GN ⊗ GL/GN+L models are constructed.
1990 ◽
Vol 05
(15)
◽
pp. 2903-2952
◽
1992 ◽
Vol 07
(03)
◽
pp. 407-500
◽
1991 ◽
Vol 06
(12)
◽
pp. 2045-2074
◽
1989 ◽
Vol 04
(02)
◽
pp. 161-168
◽
Keyword(s):
2000 ◽
Vol 12
(05)
◽
pp. 739-748
◽
2008 ◽
Vol 23
(14n15)
◽
pp. 2184-2186
Keyword(s):
1988 ◽
Vol 03
(04)
◽
pp. 397-412
◽
Keyword(s):