A quantum algebraic description of D-branes on group manifolds

Abstract

We propose an algebraic description of (untwisted) D-branes on compact group manifolds $G$ using quantum algebras related to $U_q(\mg)$. It reproduces the known characteristics of stable branes in the WZW models, in particular their configurations in $G$, energies as well as the set of harmonics. Both generic and degenerate branes are covered.

arXiv comment27 pages, Latex, Version to appear in Nucl.Phys. B

References in corpus (22)

• Noncommutative Field Theory
• Dielectric-Branes
• D-branes in the WZW model
• Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
• D-Brane Instantons and K-Theory Charges
• Brane Dynamics in Background Fluxes and Non-commutative Geometry
• Flux Stabilization of D-branes
• Algebraic Structures Related to Reflection Equations
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Scaling Limits of the Fuzzy Sphere at one Loop
• Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''
• The geometry of WZW branes
• Field Theory on the q-deformed Fuzzy Sphere I
• Ramond-Ramond Flux Stabilization of D-Branes
• Bicovariant Quantum Algebras and Quantum Lie Algebras
• Constant Solutions of Reflection Equations and Quantum Groups
• Flux stabilization in compact groups
• SU(2) WZW D-branes and their non-commutative geometry from DBI action
• Covariance Properties of Reflection Equation Algebras
• Scalar Multi-Solitons on the Fuzzy Sphere
• Matrix description of D-branes on 3-spheres
• Aspects of the q-deformed Fuzzy Sphere

Cited by in corpus (18)

• Finite Gauge Theory on Fuzzy CP^2
• Covariant cosmological quantum space-time, higher-spin and gravity in the IKKT matrix model
• Monopole Bundles over Fuzzy Complex Projective Spaces
• On the quantum structure of space-time, gravity, and higher spin in matrix models
• Measuring finite Quantum Geometries via Quasi-Coherent States
• Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits in $\mathcal{N}=4$ SYM and matrix models
• Myers Effect and Tachyon Condensation
• Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Topology Change for Fuzzy Physics: Fuzzy Spaces as Hopf Algebras
• On the geometry of coset branes
• Algebraic brane dynamics on SU(2): excitation spectra
• Classification and Quantum Moduli Space of D-branes in Group Manifolds
• Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes
• Complex (super)-matrix models with external sources and $q$-ensembles of Chern-Simons and ABJ(M) type
• Brane Bulk Couplings and Condensation from REA Fusion
• Quantum Matrix Models for Simple Current Orbifolds
• Twisted WZW Branes from Twisted REA's