Work

D-branes in λ-deformations

Year: 2018

Type: article

Abstract: We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the λ-deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the λ-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, 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 λ-deformed theory map, under analytic continuation together with Poisson-Lie T-duality, to D3 branes in the η-deformation of the principal chiral model.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2018)015

Authors: Sibylle Driezen, Alexander Sevrin, Daniel C. Thompson

Institutions: Vrije Universiteit Brussel, Swansea University, International Solvay Institutes, University of Antwerp

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Fonds Wetenschappelijk Onderzoek, Vrije Universiteit Brussel, Vlaamse regering, Science and Technology Facilities Council

Awards: From string theory to cosmology and strongly coupled dynamics, G2243907913, Fields, Strings and Lattices: From the Inflationary Universe to High-Energy Colliders, G990288975