-Deformations in the upper-half plane

Konstantinos Sfetsos (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece) ; Konstantinos Siampos (Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece)

We formulate λ-deformed σ-models as QFTs in the upper-half plane. For different boundary conditions we compute correlation functions of currents and primary operators, exactly in the deformation parameter λ and for large values of the level k of the underlying WZW model. To perform our computations we use either conformal perturbation theory in association with Cardy's doubling trick, as well as meromorphicity arguments and a non-perturbative symmetry in the parameter space (λ,k), or standard QFT techniques based on the free field expansion of the σ-model action, with the free fields obeying appropriate boundary conditions. Both methods have their own advantages yielding consistent and rich, compared to those in the absence of a boundary, complementary results. We pay particular attention, albeit not exclusively, to integrability preserving boundary conditions.

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      "surname": "Siampos", 
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      "value": "We formulate \u03bb-deformed \u03c3-models as QFTs in the upper-half plane. For different boundary conditions we compute correlation functions of currents and primary operators, exactly in the deformation parameter \u03bb and for large values of the level k of the underlying WZW model. To perform our computations we use either conformal perturbation theory in association with Cardy's doubling trick, as well as meromorphicity arguments and a non-perturbative symmetry in the parameter space <math><mo>(</mo><mi>\u03bb</mi><mo>,</mo><mi>k</mi><mo>)</mo></math>, or standard QFT techniques based on the free field expansion of the \u03c3-model action, with the free fields obeying appropriate boundary conditions. Both methods have their own advantages yielding consistent and rich, compared to those in the absence of a boundary, complementary results. We pay particular attention, albeit not exclusively, to integrability preserving boundary conditions."
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Published on:
25 August 2021
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 968 C (2021)

Article ID: 115451
DOI:
https://doi.org/10.1016/j.nuclphysb.2021.115451
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: