Integrability of a D1-brane on a group manifold with mixed three-form flux

2015/09/30 by Josef Klusoň, J. Klusoň, J. Kluson · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Chemistry #Connection (principal bundle) #Cosmology and Gravitation Theories #Flux (metallurgy) #Geometry #Group (periodic table) #Integrable system #Lax pair #Lie algebra #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Poisson bracket #Pure mathematics #Quantum mechanics #hep-th

paper · pdf · doi:10.1103/physrevd.93.046003

published as Phys. Rev. D 93, 046003 (2016) · 18 pages, v2:analysis of D1-brane on AdS(3)xS(3) added

openalex publication_date 2016/02/17 · arxiv created 2016/02/24 · arxiv updated 2016/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a D1-brane as a natural probe of the group manifold with mixed three-form fluxes. We determine the Lax connection for a given theory. Then we switch to the canonical analysis and calculate the Poisson brackets between spatial components of Lax connections, and we argue for the integrability of a given theory.

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• SL(2, Z) invariant rotating (m,n) strings in AdS₃× S³ with mixed flux

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