Integrable deformations of the Gk₁ × Gk₂/Gk₁+k₂ coset CFTs

Konstantinos, Sfetsos; Siampos, Konstadinos (2018). Integrable deformations of the Gk₁ × Gk₂/Gk₁+k₂ coset CFTs. Nuclear physics B, 927, pp. 124-139. Elsevier 10.1016/j.nuclphysb.2017.12.011

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We study the effective action for the integrable λ-deformation of the Gk₁ × Gk₂ /Gk₁+k₂ coset CFTs. For unequal levels theses models do not fall into the general discussion of λ-deformations of CFTs corre- sponding to symmetric spaces and have many attractive features. We show that the perturbation is driven by parafermion bilinears and we revisit the derivation of their algebra. We uncover a non-trivial symmetry of these models parametric space, which has not encountered before in the literature. Using field theoretical methods and the effective action we compute the exact in the deformation parameter β-function and ex- plicitly demonstrate the existence of a fixed point in the IR corresponding to the Gk₁ −k₂ × Gk₂ / Gk₁ coset CFTs. The same result is verified using gravitational methods for G = SU(2). We examine various limiting cases previously considered in the literature and found agreement.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Konstantinos, Sfetsos and Siampos, Konstadinos

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

Elsevier

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

02 Mar 2018 14:14

Last Modified:

22 Oct 2019 21:13

Publisher DOI:

10.1016/j.nuclphysb.2017.12.011

ArXiv ID:

1710.02515

BORIS DOI:

10.7892/boris.109915

URI:

https://boris.unibe.ch/id/eprint/109915

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