The most general $\lambda$-deformation of CFTs and integrability - INSPIRE

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The most general $\lambda$ -deformation of CFTs and integrability

George Georgiou
(
- Athens U.
)
,
Konstantinos Sfetsos
(
- Athens U.
)

Dec 10, 2018

28 pages

Published in:

JHEP 03 (2019) 094

Published: Mar 18, 2019

e-Print:

1812.04033 [hep-th]

DOI:

10.1007/JHEP03(2019)094

View in:

reference search45 citations

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Abstract: (Springer)

We show that the CFT with symmetry group

{G}_{k_1}\times {G}_{k_2}\times \cdots \times {G}_{k_n}

consisting of WZW models based on the same group G, but at arbitrary integer levels, admits an integrable deformation depending on 2(n − 1) continuous parameters. We derive the all-loop effective action of the deformed theory and prove integrability. We also calculate the exact in the deformation parameters RG flow equations which can be put in a particularly simple compact form. This allows a full determination and classification of the fixed points of the RG flow, in particular of those that are IR stable. The models under consideration provide concrete realizations of integrable flows between CFTs. We also consider non-Abelian T-duality type limits.

Note:

27 pages

Field Theories in Lower Dimensions
Integrable Field Theories
Sigma Models
Bosonic Strings
field theory: conformal
integrability
deformation
Wess-Zumino-Witten model
effective action
renormalization group: flow

References(54)

Figures(0)

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