Affine Poisson and affine quasi-Poisson T-duality

DOI10.1016/j.nuclphysb.2018.12.008zbMath1409.81085arXiv1809.01614OpenAlexW2890114310WikidataQ128785441 ScholiaQ128785441MaRDI QIDQ1731634

Ctirad Klimčík

Publication date: 13 March 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01614

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Duality theorems for locally compact groups (22D35)

Related Items

Comments on \(\eta\)-deformed principal chiral model from 4D Chern-Simons theory ⋮ Integrable deformations of sigma models ⋮ Current algebras, generalised fluxes and non-geometry ⋮ A unifying 2D action for integrable \(\sigma \)-models from 4D Chern-Simons theory ⋮ Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects ⋮ Dressing cosets and multi-parametric integrable deformations

Cites Work

• Unnamed Item
• Supergravity background of \(\lambda\)-deformed model for \(\mathrm{AdS}_{2} \times S^{2}\) supercoset
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Poisson-Lie T-duality in double field theory
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• Open strings and D-branes in WZNW models
• Duality for coset models.
• Duality-invariant class of two-dimensional field theories
• Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
• Manin pairs and moment maps.
• Generalised fluxes, Yang-Baxter deformations and the O\((d,d)\) structure of non-abelian \(T\)-duality
• On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems
• Poisson-Lie duals of the \(\eta\)-deformed \(\mathrm{AdS}_{2} \times S^2 \times T^6\) superstring
• Duality symmetries from nonabelian isometries in string theory
• On nonabelian duality
• Some global aspects of duality in string theory
• Ricci flow, Courant algebroids, and renormalization of Poisson-Lie T-duality
• Hamiltonian loop group actions and T-duality for group manifolds
• STRINGS IN SPACE-TIME COTANGENT BUNDLE AND T-DUALITY
• On integrability of the Yang–Baxter σ-model
• Non-Abelian target space duals of Taub - NUT
• Supersymmetric gauged WZNW models as dressing cosets
• Dressing cosets
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation
• \(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models