String cosmology from Poisson-Lie T-dual sigma models on supermanifolds

DOI10.1007/JHEP01(2012)151zbMath1306.81221arXiv1107.2041OpenAlexW2089513792MaRDI QIDQ2261359

A. Rezaei-Aghdam, Ali Eghbali

Publication date: 6 March 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2041

zbMATH Keywords

string dualitysigma models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Poisson algebras (17B63) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (10)

Cosmological string backgrounds from super Poisson-Lie T-plurality ⋮ Super non-abelian T-duality ⋮ Generalized dualities and supergroups ⋮ Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\) ⋮ Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds ⋮ Super Poisson-Lie symmetry of the \(GL(1|1)\) WZNW model and worldsheet boundary conditions ⋮ BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators ⋮ Solution of the equations of motion for a super non-abelian sigma model in curved background by the super Poisson-Lie T-duality ⋮ WZW models as mutual super Poisson-Lie T-dual sigma models ⋮ Classification of four and six dimensional Drinfel’d superdoubles

Cites Work

• Unnamed Item
• Lie superalgebras and Poisson-Lie supergroups
• Canonical equivalence of non-isometric \(\sigma{}\)-models and Poisson-Lie \(T\)-duality
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• Superstring theory on \(\text{AdS}_2\times S^2\) as a coset supermanifold
• Conformal field theory of AdS background with Ramond-Ramond flux
• Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
• The \(gl(1|1)\) Lie superbialgebras
• A classification of four-dimensional Lie superalgebras
• Classification of two and three dimensional Lie superbialgebras
• Classification of four and six dimensional Drinfel’d superdoubles
• Poisson-Lie duality in the string effective action

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