Physics

T-duality

Pure mathematics

M-theory

Mathematics

Mathematical physics

String theory

Brane cosmology

Boundary (topology)

Monodromy

Supersymmetry

Connection (principal bundle)

Abelian group

Mathematical analysis

Geometry

Duality (order theory)

Conjugacy class

Supergravity

Journal of High Energy Physics

We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce conserved charges in the presence of boundaries. In this way the D-brane configurations obtained correspond to `integrable' boundary configurations. We illustrate this with examples based on $SU(2)$ and $SL(2,\mathbb{R})$, and comment on the relation of these D-branes to both non-Abelian T-duality and Poisson-Lie T-duality. We show that the D2 supported by D0 charge in the $\lambda$--deformed theory map, under analytic continuation together with Poisson-Lie T-duality, to D3 branes in the $\eta$-deformation of the principal chiral model.

D-branes in λ-deformations