Extended generalized geometry and a DBI-type effective action for branes ending on branes

Abstract

Starting from the usual bosonic membrane action, we develop the geometry suitable for the description of $p$-brane backgrounds. Using the tools of generalized geometry we derive the generalization of string open-closed relations. Nambu-Poisson structures are used to generalize the concept of semiclassical noncommutativity of $D$-branes governed by Poisson tensor. We naturally describe the correspondence of recently proposed commutative and noncommutative versions of an effective action for $p$-branes ending on a $p^{\prime }$-brane. We calculate the power series expansion of the action in background independent gauge. Leading terms in the double scaling limit are given by a generalization of a (semi-classical) matrix model.

arXiv commentDedicated to the memory of Julius Wess and Bruno Zumino. Conclusions and Discussion section added, several typos corrected and references added

References in corpus (58)

• String Theory and Noncommutative Geometry
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• On Foundation of the Generalized Nambu Mechanics
• Five-Brane Effective Action In M-Theory
• Covariant Action for a D=11 Five-Brane with the Chiral Field
• Generalised Geometry for M-Theory
• Generalized Geometry and M theory
• Supergravity as Generalised Geometry I: Type II Theories
• The M2-M5 Brane System and a Generalized Nahm's Equation
• D=11, p=5
• Superbranes and Superembeddings
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• Leading proton production in deep inelastic scattering at HERA
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• Transverse Fivebranes in Matrix Theory
• Instantons, Poisson structures and generalized Kaehler geometry
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• A Noncommutative M-Theory Five-brane
• Current Algebras and Differential Geometry
• An action for the super-5-brane in D=11 supergravity
• Lie algebroid morphisms, Poisson Sigma Models, and off-shell closed gauge symmetries
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Brane Effective Actions, Kappa-Symmetry and Applications
• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• Non-geometric Backgrounds and the First Order String Sigma Model
• Dirac Sigma Models
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• The Eleven-Dimensional Five-Brane
• Non-geometric String Backgrounds and Worldsheet Algebras
• Critical fields on the M5-brane and noncommutative open strings
• Deformation independent open brane metrics and generalized theta parameters
• From current algebras for p-branes to topological M-theory
• D-branes in Generalized Geometry and Dirac-Born-Infeld Action
• Nambu-Sigma model and effective membrane actions
• Generalizing Geometry - Algebroids and Sigma Models
• On higher analogues of Courant algebroids
• Open membranes, ribbons and deformed Schild strings
• Courant-like brackets and loop spaces
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• Effective Action for Dp-Brane in Large RR (p-1)-Form Background
• A Concise Review on M5-brane in Large C-Field Background
• A toy model of open membrane field theory in constant 3-form flux
• S-Duality for D3-Brane in NS-NS and R-R Backgrounds
• Model of M-theory with Eleven Matrices
• On the Generalized Geometry Origin of Noncommutative Gauge Theory
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• A Note on Topological M5-branes and String-Fivebrane Duality
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• The Non-Abelian Born-Infeld Action and Noncommutative gauge theory
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• p-Brane Actions and Higher Roytenberg Brackets
• D-brane on Poisson manifold and Generalized Geometry
• L-infinity algebras and higher analogues of Dirac structures and Courant algebroids
• Nambu-Poisson Gauge Theory

Cited by in corpus (8)

• Cosmological Implications from O(D,D)
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Gauge Transformation of Double Field Theory for Open String
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Dimensional Reduction of the Generalized DBI
• Nambu-Poisson Gauge Theory
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Geometry of Membrane Sigma Models