Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions

Abstract

We show that the WZNW model on the Lie supergroup GL(1|1) has super Poisson-Lie symmetry with the dual Lie supergroup B + A + A1;1|.i. Then, we discuss about D-branes and worldsheet boundary conditions on supermanifolds, in general, and obtain the algebraic relations on the gluing supermatrix for the Lie supergroup case. Finally, using the supercanonical transformation description of the super Poisson-Lie T-duality transformation, we obtain formula for the description of the dual gluing supermatrix, then, we find the gluing supermatrix for the WZNW model on GL(1|1) and its dual model. We also discuss about different boundary conditions.

19 pages, two Refs. have added

References in corpus (8)

• Superstrings in AdS(2)xS(2)xT(6)
• On the SU(2|1) WZW model and its statistical mechanics applications
• Branes in the GL(1|1) WZNW-Model
• Poisson-Lie T-dual sigma models on supermanifolds
• Geometry of branes on supergroups
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• The gl(1|1) Lie superbialgebras
• String Theories on Flat Supermanifolds

Cited by in corpus (16)

• BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• WZW models as mutual super Poisson-Lie T-dual sigma models
• Super Non-Abelian T-Duality
• Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds
• Yang-Baxter deformation of WZW model based on Lie supergroups: The cases of $GL(1|1)$ and $(C^3+A)$
• A hierarchy of WZW models related to super Poisson-Lie T-duality
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• T-dualization of Gödel string cosmologies via Poisson-Lie T-duality approach
• Solution of the equations of motion for a super non-Abelian sigma model in curved background by the super Poisson-Lie T-duality
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Poisson-Lie T-plurality for WZW backgrounds
• Generalized Supergravity Equations for the WZW Model
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Yang-Baxter deformations of the OSP(1|2) WZW model