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arXiv · 1805.03731

The exact $C$-function in integrable $\lambda$-deformed theories

George Georgiou·Pantelis Panopoulos·Eftychia Sagkrioti·Konstantinos Sfetsos·Konstantinos Siampos
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Abstract

By employing CFT techniques, we show how to compute in the context of \lambda-deformations of current algebras and coset CFTs the exact in the deformation parameters C-function for a wide class of integrable theories that interpolate between a UV and an IR point. We explicitly consider RG flows for integrable deformations of left-right asymmetric current algebras and coset CFTs. In all cases, the derived exact C-functions obey all the properties asserted by Zamolodchikov's c-theorem in two-dimensions.

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George Georgiou, Pantelis Panopoulos, Eftychia Sagkrioti, Konstantinos Sfetsos, Konstantinos Siampos. 2018-05-09. The exact $C$-function in integrable $\lambda$-deformed theories. https://doi.org/10.1016/j.physletb.2018.06.023

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