Symmetry breaking, permutation D-branes on group manifolds: boundary states and geometric description

TL;DR

This paper constructs new symmetry-breaking branes on product group manifolds using permutation symmetry, orbifolds, and T-duality, with consistent descriptions via Lagrangian and boundary CFT methods.

Contribution

It introduces a novel class of symmetry-breaking branes on product group manifolds, combining permutation symmetry with orbifolds and T-duality, and provides dual descriptions.

Findings

Successful construction of new symmetry-breaking branes.

Agreement between Lagrangian and boundary CFT analyses.

Branes that mix submanifolds and partially break the chiral algebra.

Abstract

We use the permutation symmetry between the product of several group manifolds in combination with orbifolds and T-duality to construct new classes of symmetry breaking branes on products of group manifolds. The resulting branes mix the submanifolds and break part of the diagonal chiral algebra of the theory. We perform a Langrangian analysis as well as a boundary CFT construction of these branes and find agreement between the two methods.