Matrix Perturbation Theory For M-theory On a PP-Wave

Abstract

In this paper, we study the matrix model proposed by Berenstein, Maldacena, and Nastase to describe M-theory on the maximally supersymmetric pp-wave. We show that the model may be derived directly as a discretized theory of supermembranes in the pp-wave background, or alternatively, from the dynamics of D0-branes in type IIA string theory. We consider expanding the model about each of its classical supersymmetric vacua and note that for large values of the mass parameter μ, interaction terms are suppressed by powers of 1/mu, so that the model may be studied in perturbation theory. We compute the exact spectrum about each of the vacua in the large μlimit and find the complete (infinite) set of BPS states, which includes states preserving 2, 4, 6, 8, or 16 supercharges. Through explicit perturbative calculations, we then determine the effective coupling that controls the perturbation expansion for large μand estimate the range of parameters and energies for which perturbation theory is valid.

Latex file, 40+16 pages, 2 eps figures; v2: refs added; v3: correction to energy shift calculation; v4: small corrections

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Cited by in corpus (182)

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• Superstring Interactions in a pp-wave Background
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• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Superstring Interactions in a pp-wave Background II
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Bits, Matrices and 1/N
• Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
• Warped 5-Dimensional Models: Phenomenological Status and Experimental Prospects
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• M-flation: Inflation From Matrix Valued Scalar Fields
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Evidence for fast thermalization in the plane-wave matrix model
• Protected Multiplets of M-Theory on a Plane Wave
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Supermembrane on the PP-wave Background
• Superalgebra for M-theory on a pp-wave
• Giant Hedge-Hogs: Spikes on Giant Gravitons
• On the Spectrum of PP-Wave Matrix Theory
• Type IIA String and Matrix String on PP-wave
• On the Integrability of large N Plane-Wave Matrix Theory
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• To gauge or not to gauge?
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• Branes from Matrix Theory in PP-Wave Background
• Chaos in the BMN matrix model
• Long-Range GL(n) Integrable Spin Chains and Plane-Wave Matrix Theory
• pp Wave Big Bangs: Matrix Strings and Shrinking Fuzzy Spheres
• N=(4,4) Type IIA String Theory on PP-Wave Background
• Modular Invariance of Strings on PP-Waves with RR-flux
• Supersymmetric objects in the M-theory on a pp-wave
• Matrix embeddings on flat $R^3$ and the geometry of membranes
• Gauged M-flation, its UV sensitivity and Spectator Species
• On the Dielectric Effect for Gravitational Waves
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Quantum Corrections on Fuzzy Sphere
• BPS Conditions of Supermembrane on the PP-wave
• Matrix Membrane Big Bangs and D-brane Production
• First Results from Lattice Simulation of the PWMM
• On Half-BPS States of the ABJM Theory
• Orbiting Membranes in M-theory on AdS_7 x S^4 Background
• Fiber Bundles and Matrix Models
• Five-Brane Thermodynamics from the Matrix Model
• Giant Graviton and Quantum Stability in Matrix Model on PP-wave Background
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• Little String Theory from a Double-Scaled Matrix Model
• BMN Vacua, Superstars and Non-Abelian T-duality
• Fuzzy Spheres in pp Wave Matrix String Theory
• Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model
• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Fuzzy 5-spheres and pp-wave Matrix Actions
• Membranes and Matrix Models
• Supersymmetry and Branes in M-theory Plane-waves
• Deep Quantum Geometry of Matrices
• Instantons of M(atrix) Theory in PP-Wave Background
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Ground State of Supermembrane on PP-wave
• Covariant Description of D-branes in IIA Plane-Wave Background
• Toward simulating Superstring/M-theory on a quantum computer
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Two-Loop Partition Function in the Planar Plane-Wave Matrix Model
• Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background
• All Higher Genus BPS Membranes in the Plane Wave Background
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• The non-perturbative phase diagram of the BMN matrix model
• D-branes of Covariant AdS Superstrings
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds
• Solvable N=(4,4) Type IIA String Theory in Plane-Wave Background and D-Branes
• The Supergravity Dual of the BMN Matrix Model
• Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• Thermodynamics of Fuzzy Spheres in PP-wave Matrix Model
• Large N reduction for Chern-Simons theory on S^3
• Matrix Model in a Class of Time Dependent Supersymmetric Backgrounds
• Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT's
• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Worldvolume supersymmetries for branes in plane waves
• Solution to worldvolume action of D3 brane in pp-wave background
• Instantons, supersymmetric vacua, and emergent geometries
• Spectral properties in supersymmetric matrix models
• 5D action for longitudinal five branes on a pp-wave
• 1/2 BPS Geometries of M2 Giant Gravitons
• SU(2|2) supersymmetric mechanics
• Multi-Spin Giants
• Curved-space classical solutions of a massive supermatrix model
• Spectrum of Eleven-dimensional Supergravity on a PP-wave Background
• Gravitational Waves from Preheating in M-flation
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence
• Gauged M-flation After BICEP2
• Scrambling with Matrix Black Holes
• Dynamical tachyons on fuzzy spheres
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Euler Top Dynamics of Nambu-Goto P-Branes
• Type II pp-wave Matrix Models from Point-like Gravitons
• The electrostatic view on M-theory LLM geometries
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
• M2-branes on a constant flux background
• Supergravity, Supermembrane and M(atrix) model on PP-Waves
• Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background
• Dirichlet Branes of the Covariant Open Supermembrane in AdS_4 x S^7 and AdS_7 x S^4
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Supermatrix models for M-theory based on osp(1|32,R)
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• $\beta$-deformation for matrix model of M-theory
• Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background
• M-theory on Less Supersymmetric PP-Waves
• Open string - BMN operator correspondence in the weak coupling regime
• Partition Function and Open/Closed String Duality in Type IIA String Theory on a PP-wave
• Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave
• M-theory on a Time-dependent Plane-wave
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Spherical transverse M5-branes from the plane wave matrix model
• Deformed $\mathcal{N}=8$ mechanics of $(8,8,0)$ multiplets
• Coarse-Graining the Lin-Maldacena Geometries
• Open M-branes on AdS_{4/7} x S^{7/4} Revisited
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• Branes wrapping black holes as a purely gravitational dielectric effect
• Statistical Physics of the Polarised IKKT Matrix Model
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• The matrix regularization for Riemann surfaces with magnetic fluxes
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Minimal Areas from Entangled Matrices
• Type IIA Supergravity Excitations in Plane-Wave Background
• Supersymmetric Intersections of M-branes and pp-waves
• Chaos in $SU(2)$ Yang-Mills Chern-Simons Matrix Model
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• Heterotic plane wave matrix models and giant gluons
• Emergent Area Laws from Entangled Matrices
• Holography and entropy bounds in the plane wave matrix model
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Smearing Effect in Plane-Wave Matrix Model
• New BPS Configurations of BMN Matrix Theory
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• The Massive Supermembrane on a Knot
• Laplacians on Fuzzy Riemann Surfaces
• Graviton and Spherical Graviton Potentials in Plane-Wave Matrix Model - overview and perspective -
• PP-wave Black holes and The Matrix Model
• New Fuzzy Extra Dimensions from $SU(\mathcal{N})$ Gauge Theories
• A D2-brane in the Penrose limits of AdS(4)x CP(3)
• Supersymmetric algebra of the massive supermembrane
• Continuum limit(s) of BMN matrix model: Where is the (nonabelian) gauge group?
• Chaos from Massive Deformations of Yang-Mills Matrix Models
• Equivariant Fields in an $SU(\mathcal{N})$ Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
• Emergent spacetime & Quantum Entanglement in Matrix theory
• Chaotic Dynamics of the Mass Deformed ABJM Model
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Diffeomorphisms on Fuzzy Sphere
• M-flation and its spectators
• Decoding the matrix: Coincident membranes on the plane wave
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• Fluxbrane in Melvin Background: Membrane Matrix Approach
• Witten index of BMN matrix quantum mechanics
• KK6 from M2 in ABJM
• Spinning the Fuzzy Sphere
• On the Spectral properties of Multi-branes, M2 and M5 branes
• Cascade of instabilities in the classical limit of the BMN matrix model
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• Multiple M0-brane equations in eleven dimensional pp-wave superspace and BMN matrix model
• A $U(3)$ Gauge Theory on Fuzzy Extra Dimensions
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions
• Tiny Graviton Matrix Theory On Time-Dependent Background
• Probing Smearing Effect by Point-Like Graviton in Plane-Wave Matrix Model
• Pp-wave Matrix Models from Point-like Gravitons
• Zero-mode Spectrum of Eleven-dimensional Theory on the Plane-wave Background
• Chaos in Matrix Gauge Theories with Massive Deformations
• On Emergent Geometry from Entanglement Entropy in Matrix theory
• Turbulent aspects of BMN membrane dynamics
• A Charge Constraint in BMN
• Matrix Quantum Mechanics for Supermembrane on AdS_{7} x S^{4}
• Emergent geometry through quantum entanglement in Matrix theories
• Non-perturbative phase structure of the bosonic BMN matrix model
• D2-brane with RR and NSNS fluxes and its dual M-theory origin
• Two-Graviton Interaction in PP-Wave Background in Matrix Theory and Supergravity
• M-theory as a dynamical system generator