D-brane and Gauge Invariance in Closed String Field Theory

Abstract

We construct a system of bosonic closed string field theory coupled to a D-brane. The interaction between the D-brane and closed string field is introduced using the boundary state which is a function of constant field strength $F_{\mu \nu }$ and the tilt ${\theta }_{\mu }^i$ of the D-brane. We find that the gauge invariance requirement on the system determines the $(F_{\mu \nu },{\theta }_{\mu }^i)$-dependence of the normalization factor of the boundary state as well as the form of the purely $(F_{\mu \nu },{\theta }_{\mu }^i)$ term of the action. Correspondence between the action in the present formalism and the low energy effective action (bulk + D-brane actions) in the $\sigma$-model approach is studied.

30 pages, LaTeX, minor corrections

References in corpus (5)

• Dirichlet-Branes and Ramond-Ramond Charges
• Introduction to string field theory
• An SL(2,Z) Multiplet of Type IIB Superstrings
• M-Theory (the Theory Formerly Known as Strings)
• D-Brane Boundary State Dynamics

Cited by in corpus (15)

• (F,Dp) bound states from the boundary state
• Classical Open-String Field Theory ; $A_{\infty }$-Algebra, Renormalization Group and Boundary States
• Comments on D-Instantons in c<1 Strings
• Some aspects of interaction amplitudes of D branes carrying worldvolume fluxes
• Boundary states as exact solutions of (vacuum) closed string field theory
• Interaction between two non-threshold bound states
• Corrections to D-brane Action and Generalized Boundary State
• On D-brane interaction & its related properties
• The open string pair-production rate enhancement by a magnetic flux
• Closed String Field Theory with Dynamical D-brane
• D-branes and Closed String Field Theory
• Reformulation of Boundary String Field Theory in terms of Boundary State
• D-branes and Closed String Field Theory
• A Note on the Path Integral Representation of the Boundary State of D-brane
• Boundary state of multiple D0-branes and closed string coupling