The SU(N) Matrix Model at Two Loops

Abstract

Multi-loop calculations of the effective action for the matrix model are important for carrying out tests of the conjectured relationship of the matrix model to the low energy description of M-theory. In particular, comparison with N-graviton scattering amplitudes in eleven-dimensional supergravity requires the calculation of the effective action for the matrix model with gauge group SU(N). A framework for carrying out such calculations at two loops is established in this paper. The two-loop effective action is explicitly computed for a background corresponding to the scattering of a single D0-brane from a stack of N-1 D0-branes, and the results are shown to agree with known results in the case N=2.

30 pages, 1 figure; v2 - typos corrected, references updated

References in corpus (37)

• M Theory As A Matrix Model: A Conjecture
• Bound States Of Strings And $p$-Branes
• Why is the Matrix Model Correct?
• D-branes and Short Distances in String Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Higher Order Graviton Scattering in M(atrix) Theory
• Constraints From Extended Supersymmetry in Quantum Mechanics
• A Two-Loop Test of M(atrix) Theory
• Supersymmetry and Higher Derivative Terms in the Effective Action of Yang-Mills Theories
• Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory
• A ``Gaussian'' Approach to Computing Supersymmetric Effective Actions
• On the Background Field Method Beyond One Loop: A manifestly covariant derivative expansion in super Yang-Mills theories
• Supersymmetry and the Yang-Mills Effective Action at Finite N
• On Graviton Scattering Amplitudes in M-Theory
• A note on supersymmetric D-brane dynamics
• Scale independent spin effects in D-brane dynamics
• Self-dual effective action of N = 4 SYM revisited
• Equations of Motion and Galilei Invariance in D-Particle Dynamics
• Spin-Orbit Interaction from Matrix Theory
• Spin-Spin Interaction In Matrix Theory
• Three Graviton Scattering in M-Theory
• The Matrix Theory S-Matrix
• Relaxed super self-duality and N = 4 SYM at two loops
• On the two-loop four-derivative quantum corrections in 4D N = 2 superconformal field theories
• Short Distance Contributions to Graviton-Graviton Scattering: Matrix Theory versus Supergravity
• Supersymmetric completion of supersymmetric quantum mechanics
• D=11 SUGRA as the Low Energy Effective Action of Matrix Theory: Three Form Scattering
• Spin Dependence of D0-brane Interactions
• Higher Order Spin-dependent Terms in D0-brane Scattering from the Matrix Model
• On the supersymmetric effective action of Matrix theory
• Angular momentum and long-range gravitational interactions in Matrix theory
• A Note on Effective Lagrangians in Matrix Theory
• On the Supersymmetry and Gauge Structure of Matrix Theory
• Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited
• Non-perturbative membrane spin-orbit couplings in M/IIA theory
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Complete Solution for M(atrix) Theory at Two Loops