On the Poisson-Lie T-plurality of boundary conditions
Cecilia Albertsson, Ladislav Hlavaty, Libor Snobl
TL;DR
This paper analyzes how boundary conditions in 2D nonlinear sigma-models transform under Poisson-Lie T-plurality, providing formulas, examples, and solutions for consistent D-brane transformations.
Contribution
It introduces a reformulation of boundary condition conditions and derives a transformation formula under Poisson-Lie T-plurality, with practical examples and obstacle analysis.
Findings
Derived a formula for boundary condition transformation
Presented examples of D-brane transformations in low dimensions
Identified and addressed obstacles in the transformation process
Abstract
Conditions for the gluing matrix defining consistent boundary conditions of two-dimensional nonlinear sigma-models are analyzed and reformulated. Transformation properties of the right-invariant fields under Poisson-Lie T-plurality are used to derive a formula for the transformation of the boundary conditions. Examples of transformation of D-branes in two and three dimensions are presented. We investigate obstacles arising in this procedure and propose possible solutions.
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