A Classification of Subgroup Truncations of the Bosonic String

Bais, F.Alexander; Bouwknegt, Peter G.

doi:10.1016/0550-3213(87)90010-1

A Classification of Subgroup Truncations of the Bosonic String

F.Alexander Bais
(
- Amsterdam U.
)
,
Peter G. Bouwknegt
(
- Amsterdam U.
)

Jun 9, 1986

18 pages

Published in:

Nucl.Phys.B 279 (1987) 561

DOI:

10.1016/0550-3213(87)90010-1

Report number:

ITFA-86-09

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Abstract: (Elsevier)

We give a classification of all embeddings G ⊂G, with the property that the Virasoro algebras related to G and G have equal central charges, i.e. D G =D G . G or G can be either simply or not simply laced, and simple or semi-simple. The results are useful in constructing subgroup truncations of the bosonic string as well as in constructing conformally invarient sectors of free fermion models in two dimensions, which correspond to certain sigma models with appropriately chosen values for the Wess-Zumino term.

MODEL: STRING
string model: boson
VERTEX FUNCTION
ALGEBRA: VIRASORO
ALGEBRA: REPRESENTATION
ALGEBRA: CENTRAL CHARGE
FIELD THEORETICAL MODEL: SIGMA
GROUP THEORY

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