Yang-Baxter sigma models and dS/AdS T duality

Klimcik, Ctirad

doi:10.1088/1126-6708/2002/12/051

Yang-Baxter sigma models and dS/AdS T duality

Ctirad Klimcik
(
- Luminy, Inst. Math.
)

Oct, 2002

28 pages

Published in:

JHEP 12 (2002) 051

e-Print:

hep-th/0210095 [hep-th]

DOI:

10.1088/1126-6708/2002/12/051

Report number:

IML-02-XY

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Abstract: (arXiv)

We point out the existence of nonlinear

\sigma

-models on group manifolds which are left symmetric and right Poisson-Lie symmetric. We discuss the corresponding rich T-duality story with particular emphasis on two examples: the anisotropic principal chiral model and the

SL(2,C)/SU(2)

WZW model. The latter has the de Sitter space as its (conformal) non-Abelian dual.

sigma model: nonlinear
dimension: 2
group theory: geometrical
model: chiral
field theory: de Sitter
field theory: anti-de Sitter
duality
Wess-Zumino-Witten model

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