G sub N direct product G sub L G sub N+L conformal field theories and their modular invariant partition functions

Journal Article · Sun Jan 01 04:00:00 EST 1989 · International Journal of Modern Physics B; (United States)

OSTI ID:5262207

Christe, P; Ravanini, F ^[1]

---

1. Nordita, Blegdamsvej 17, 2100 Copenhagen 0 (DK)

This paper reports that the authors study a Feigin-Fuchs construction of conformal field theories based on G {circle times} 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 G{sub 2} Wess-Zumino-Witten models are given. Besides the principal series of diagonal invariants, a complementary series exist 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 G{sub 2}. From these modular invariants, those for the corresponding G{sub N} {circle times} G{sub L}/G{sub N + L} models are constructed.

• OSTI ID: 5262207
• Journal Information: International Journal of Modern Physics B; (United States), Journal Name: International Journal of Modern Physics B; (United States) Vol. 4:4; ISSN 0217-9792; ISSN IJPBE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONFORMAL INVARIANCE
FERMIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
PARTITION FUNCTIONS
SCREENING
SO GROUPS
SPACE
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS