N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
arXiv:hep-th/0308201
Abstract
A systematic construction is given for N=1 open string boundary coupling to Abelian and non-Abelian Dp-brane worldvolume fields, in general curved backgrounds. The basic ingredient is a set of four ``boundary vectors'' that provide a unified description of boundary conditions and boundary couplings. We then turn to the problem of apparent inconsistency of non-Abelian worldvolume scalar couplings (obtained by T-duality), with general covariance. It means that the couplings cannot be obtained from a covariant action by gauge fixing ordinary general coordinate transformations (GCT). It is shown that the corresponding worldsheet theory has the same problem, but is also invariant under certain matrix-valued coordinate transformations (MCT) that can be used to restore its covariance. The same transformations act on the worldvolume, leading to a covariant action. Then the non-Abelian Dp-brane action obtained by T-duality corresponds to gauge fixing the MCT and not GCT, hence the apparent incompatibility with general covariance.
arXiv comment30 pages, LaTeX
References in corpus (10)
- Dielectric-Branes
- TASI Lectures on D-Branes
- D-branes and T-duality
- World-Volume Interactions on D-Branes
- Branes within Branes
- D-branes and Matrix Theory in Curved Space
- N=1 supersymmetric sigma model with boundaries, II
- O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry
- Aspects of T-duality in Open Strings
- D-brane Couplings, RR Fields and Clifford Multiplication
Cited by in corpus (12)
- Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models
- Fuzzy 5-spheres and pp-wave Matrix Actions
- Giant Gravitons and Fuzzy CP^2
- Q7-branes and their coupling to IIB supergravity
- Kappa-symmetry for coincident D-branes
- Generally Covariant Actions for Multiple D-branes
- Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta Function and Nonabelian Born-Infeld Action
- The gauge invariance of the non-Abelian Chern-Simons action for D-branes revisited
- On Supersymmetry, Boundary Actions and Brane Charges
- Supersymmetric Boundary Conditions for the N=2 Sigma Model
- On the gauge invariance of the non-Abelian Chern-Simons action for D-branes
- Holomorphically Covariant Matrix Models