Generalised integrable λ - and η-deformations and their relation

Sfetsos, Konstantinos; Siampos, Konstantinos; Thompson, Daniel C.

doi:10.1016/j.nuclphysb.2015.08.015

Generalised integrable λ - and η-deformations and their relation

Konstantinos Sfetsos
(
- Athens U. and
- U. Bern, AEC and
- Bern U.
)
,
Konstantinos Siampos
(
- U. Bern, AEC and
- Bern U.
)
,
Daniel C. Thompson
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)

Jun 18, 2015

24 pages

Published in:

Nucl.Phys.B 899 (2015) 489-512

Published: Aug 20, 2015

e-Print:

1506.05784 [hep-th]

DOI:

10.1016/j.nuclphysb.2015.08.015

View in:

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Abstract: (Elsevier)

We construct two-parameter families of integrable λ -deformations of two-dimensional field theories. These interpolate between a CFT (a WZW/gauged WZW model) and the non-Abelian T-dual of a principal chiral model on a group/symmetric coset space. In examples based on the SU(2) WZW model and the SU(2)/U(1) exact coset CFT, we show that these deformations are related to bi-Yang–Baxter generalisations of η -deformations via Poisson–Lie T-duality and analytic continuation. We illustrate the quantum behaviour of our models under RG flow. As a byproduct we demonstrate that the bi-Yang–Baxter σ -model for a general group is one-loop renormalisable.

Note:

33 pages, Latex, v2: 35 pages, Latex, clarifying comments, v3: few minor changes, NPB version

renormalization group: flow
T-duality: nonabelian
model: chiral
Wess-Zumino-Witten model
integrability
coset space
deformation
SU(2)/U(1)
SU(2)

References(46)

Figures(0)

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