Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian

Abstract

The consistency of Matrix theory with supergravity requires that in the large N_c limit terms of order v^4 in the SU(N_c) Matrix effective potential are not renormalized beyond one loop in perturbation theory. For SU(2) gauge group, the required non-renormalization theorem was proven recently by Paban, Sethi and Stern. In this paper we consider the constraints supersymmetry imposes on these terms for groups SU(N_c) with N_c>2. Non-renormalization theorems are proven for certain tensor structures, including the structures that appear in the one-loop effective action. However it is expected other tensor structures can in general be present, which may suffer renormalization at three loops and beyond.

10 pages, harvmac, (Some equations corrected. Conclusions unchanged.)

Cited by in corpus (11)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Supersymmetric completion of supersymmetric quantum mechanics
• Warm p-soup and near extremal black holes
• On the Supersymmetry and Gauge Structure of Matrix Theory
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Conformal Symmetry and A New Gauge in the Matrix Model
• Power of Supersymmetry in D-particle Dynamics
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• A Theorem on the Power of Supersymmetry in Matrix Theory
• Type IIB Matrix Theory at Two Loops
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background