The exact C -function in integrable λ -deformed theories

Georgiou, George (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens, 15784, Greece) (Institute of Nuclear and Particle Physics, National Center for Scientific Research Demokritos, Ag. Paraskevi, Athens, GR-15310, Greece) ; Panopoulos, Pantelis (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens, 15784, Greece) ; Sagkrioti, Eftychia (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens, 15784, Greece) ; Sfetsos, Konstantinos (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens, 15784, Greece) ; Siampos, Konstantinos (Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland)

12 June 2018

Abstract: By employing CFT techniques, we show how to compute in the context of λ -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.


Published in: Physics letters B (2018)
Published by: Elsevier
DOI: 10.1016/j.physletb.2018.06.023
License: CC-BY-3.0



Back to search

Fulltext:
Download fulltextXML Download fulltextPDF Download fulltextPDF (PDFA)