Integrability of D1-brane on Group Manifold with Mixed Three Form Flux

Abstract

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

18 pages, v2:analysis of D1-brane on AdS(3)xS(3) added

References in corpus (6)

• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Towards integrability for AdS3/CFT2
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Integrability of D1-brane on Group Manifold

Cited by in corpus (6)

• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• D1 string dynamics in curved backgrounds with fluxes
• Minimal surfaces with mixed three-form flux
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• N spike D-strings in AdS Space with mixed flux
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux