Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave

Abstract

We propose a recipe to construct the DLCQ Hamiltonian of type IIB string theory on the AdS (and/or plane-wave) background. We consider a system of J number of coincident unstable non-BPS D0-branes of IIB theory in the light-cone gauge and on the plane-wave background with a compact null direction, the dynamics of which is described by the world-line U(J) gauge theory. This configuration suffers from tachyonic instabilities. Having instabilities been cured through the process of open string tachyon condensation, by expanding the theory about true minima of the effective potential and furthermore taking low energy limit to decouple the heavy modes, we end up with a 0+1-dimensional supersymmetric U(J) gauge theory, a Matrix Theory. We conjecture that the Hamiltonian of this Matrix Theory is just the DLCQ Hamiltonian of type IIB string theory on the AdS or equivalently plane-wave background in a sector with J units of light-cone momentum. We present some pieces of evidence in support of the proposal.

arXiv commentLaTeX, 35 pages, 2 eps figures; v2: minor changes, references added; v3: minor changes

References in corpus (49)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Dielectric-Branes
• A Large-N Reduced Model as Superstring
• Bubbling AdS space and 1/2 BPS geometries
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• Why is the Matrix Model Correct?
• Supersymmetric World-volume Action for Non-BPS D-branes
• T-duality and Actions for Non-BPS D-branes
• Tachyon couplings on non-BPS D-branes and Dirac-Born-Infeld action
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Another Conjecture about M(atrix) Theory
• Proposal for non-BPS D-brane action
• Fivebranes from gauge theory
• Multiple Dp-branes in Weak Background Fields
• Emergent Spacetime
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• The Plane-Wave/Super Yang-Mills Duality
• Multiple D0-branes in Weakly Curved Backgrounds
• TASI lectures on the Holographic Principle
• An Introduction to Non-perturbative String Theory
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Ramond-Ramond Couplings on Brane-Antibrane Systems
• The M-theory dual of a 3 dimensional theory with reduced supersymmetry
• D-branes, Matrix Theory and K-homology
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• Shortening of primary operators in N-extended SCFT_4 and harmonic-superspace analyticity
• A harmonic family of dielectric flow solutions with maximal supersymmetry
• Review of Matrix Theory
• A Geometric Interpretation of the Open String Tachyon
• TASI Lectures on Matrix Theory
• On the Polarization of Unstable D0-Branes into Non-Commutative Odd Spheres
• A Microscopical Description of Giant Gravitons II: The AdS_5 x S^5 Background
• Ramond-Ramond couplings of non-BPS D-branes
• Sphalerons, Merons and Unstable Branes in AdS
• D-Sphalerons and the Topology of String Configuration Space
• D-Branes from N non-BPS D0-Branes
• A Construction of Commutative D-branes from Lower Dimensional Non-BPS D-branes
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Myers Effect and Tachyon Condensation
• Type II pp-wave Matrix Models from Point-like Gravitons
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• A non-Abelian Chern-Simons term for non-BPS D-branes
• Penrose limit and DLCQ of string theory
• Holography and entropy bounds in the plane wave matrix model

Cited by in corpus (4)

• DLCQ and Plane Wave Matrix Big Bang Models
• Electrified BPS Giants: BPS configurations on Giant Gravitons with Static Electric Field
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model