Unitary representations of some infinite dimensional Lie algebras motivated by string theory on AdS(3)

Andreev, Oleg

doi:10.1016/S0550-3213(99)00513-1

Unitary representations of some infinite dimensional Lie algebras motivated by string theory on AdS(3)

Oleg Andreev
(
- Landau Inst.
)

May, 1999

17 pages

Published in:

Nucl.Phys.B 561 (1999) 413-432

e-Print:

hep-th/9905002 [hep-th]

DOI:

10.1016/S0550-3213(99)00513-1

Report number:

LANDAU-99-HEP-A2

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Abstract:

We consider some unitary representations of infinite dimensional Lie algebras motivated by string theory on AdS_3. These include examples of two kinds: the A,D,E type affine Lie algebras and the N=4 superconformal algebra. The first presents a new construction for free field representations of affine Lie algebras. The second is of a particular physical interest because it provides some hints that a hybrid of the NSR and GS formulations for string theory on AdS_3 exists.

Note:

LaTeX2e, 17 pages, 2 Postscript figures, minor corrections Report-no: LANDAU-99/HEP-A2

11.25.Hf
11.25.-w
Lie algebras
Strings
AdS/CFT correspondence
algebra: Lie
algebra: representation
string model
space-time: anti-de Sitter
dimension: 3

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