Improved formulation of GNO fermionization theorem

Journal Article · Sun Jan 01 04:00:00 EST 1989 · Modern Physics Letters A; (USA)

DOI:https://doi.org/10.1142/S0217732389001180· OSTI ID:5595249

Fre, P; Gliozzi, F; Piras, A ^[1]

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1. Dipartimento di Fisica Teorica dell'Universita' di Torino and Istituto Nazionale di Fisica Nucleare, Sezione di Torino via P. Giura 1, I-10125 Turin (IT)

It is pointed out that in the Kac-Moody algebras fulfilling the fermionization criterion of Goddard, Nahm and Olive and having a non-minimal value of the central charge {kappa}, only a proper subset of the allowed unitary highest weight representations can actually be encoded in a free fermion theory. These truly fermionizable representations are selected by a very specific non-regular embedding of the fermionizable Kac-Moody algebra into the lowest level SO(N/sub F/) Kac-Moody algebra, N/sub F/ being both the number of fermions and the dimension of the GNO symmetric space. This embedding is a particular case of the embeddings considered by Bais and Bouwknegt and by Schellekens and Warner, for which the Virasoro central charge of the subgroup is equal to that of the group. Furthermore, these fermionizable representations span an orbit of the modular group always leading to a non-trivial modular invariant partition function.

• OSTI ID: 5595249
• Journal Information: Modern Physics Letters A; (USA), Journal Name: Modern Physics Letters A; (USA) Vol. 4:11; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
FIELD ALGEBRA
FIELD THEORIES
GROUP THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
PARTICLE MODELS
QUANTUM FIELD THEORY
SIGMA MODEL
SO GROUPS
SYMMETRY
SYMMETRY GROUPS