Conformal Symmetry and A New Gauge in the Matrix Model

Abstract

We generalize the background gauge in the Matrix model to propose a new gauge which is useful for discussing the conformal symmetry. In this gauge, the special conformal transformation (SCT) as the isometry of the near-horizon geometry of the D-particle solution is directly reproduced with the correct coefficient as the quantum correction to the SCT in the Matrix model. We also present a general argument for the relation between the gauge choice and the field redefinition in the Matrix model.

17 pages, LaTeX, no figures; v2: Introduction modified, references added and typos corrected; v3: Introduction changed; v4: Eq.(12) corrected; v5: final version to appear in Phys. Rev. D

References in corpus (2)

• Supersymmetry and the Yang-Mills Effective Action at Finite N
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory

Cited by in corpus (5)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• On the Supersymmetry and Gauge Structure of Matrix Theory
• On quantum deformation of conformal symmetry: Gauge dependence via field redefinitions
• Power of Supersymmetry in D-particle Dynamics
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory