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M-Theory and the Light Cone

Joseph Polchinski

TL;DR

This paper surveys D0-brane quantum mechanics as a nonperturbative formulation of string theory and demonstrates the equivalence of four limits (DKPS, SSS, BGLHKS, IMSY) of type IIA theory, tying together the BFSS matrix model, Maldacena duality for D0-branes, and IIA/M-theory duality. It shows how gravitational backreaction and holography map the matrix quantum mechanics across energy scales to IIA string theory and M-theory backgrounds, revealing emergent 11D bulk physics in the large-N limit. The IMSY limit provides a concrete energy–radius duality between low-energy QM and supergravity, with a holographic framework linking boundary conditions to bulk dynamics. The work argues for a nonperturbative, large-N route to test dualities, proposes numerical tests (e.g., D0-brane entropy via Monte Carlo), and outlines future directions toward a universal framework for string backgrounds beyond AdS and toward a fuller understanding of M-theory limits.

Abstract

I discuss D0-brane quantum mechanics as a nonperturbative formulation of string theory, in particular the relation between the Banks-Fischler-Shenker-Susskind matrix model, the Maldacena conjecture for D0-branes, and type IIA/M-theory duality. Some features of the quantum mechanics of D0-branes are also discussed. Lecture presented at the Nishinomiya-Yukawa Memorial Symposium, Nov. 1998.

M-Theory and the Light Cone

TL;DR

This paper surveys D0-brane quantum mechanics as a nonperturbative formulation of string theory and demonstrates the equivalence of four limits (DKPS, SSS, BGLHKS, IMSY) of type IIA theory, tying together the BFSS matrix model, Maldacena duality for D0-branes, and IIA/M-theory duality. It shows how gravitational backreaction and holography map the matrix quantum mechanics across energy scales to IIA string theory and M-theory backgrounds, revealing emergent 11D bulk physics in the large-N limit. The IMSY limit provides a concrete energy–radius duality between low-energy QM and supergravity, with a holographic framework linking boundary conditions to bulk dynamics. The work argues for a nonperturbative, large-N route to test dualities, proposes numerical tests (e.g., D0-brane entropy via Monte Carlo), and outlines future directions toward a universal framework for string backgrounds beyond AdS and toward a fuller understanding of M-theory limits.

Abstract

I discuss D0-brane quantum mechanics as a nonperturbative formulation of string theory, in particular the relation between the Banks-Fischler-Shenker-Susskind matrix model, the Maldacena conjecture for D0-branes, and type IIA/M-theory duality. Some features of the quantum mechanics of D0-branes are also discussed. Lecture presented at the Nishinomiya-Yukawa Memorial Symposium, Nov. 1998.

Paper Structure

This paper contains 7 sections, 28 equations, 3 figures.

Table of Contents

  1. Introduction
  2. The Douglas--Kabat--Pouliot--Shenker (DKPS) Limit
  3. The Susskind--Seiberg--Sen (SSS) Limit
  4. The Balasubramanian--Gopakumar--Larsen--Hyun--Kiem--Shin (BGLHKS) Limit
  5. The Itzhaki--Maldacena--Sonnenschein--Yankielowicz (IMSY) Limit
  6. Discussion
  7. What Next?

Figures (3)

  • Figure 1: Space of string vacua. The cusps are limits in which a weakly coupled string description is possible (except for the M-theory limit).
  • Figure 2: The same space in two frames. a) Identified point (indicated by arrows) are at equal times and small spatial separation. b) Identified points are at fixed spatial distance and almost null separation.
  • Figure 3: Space of string vacua. At $g_{\rm s} = 0$ but large $N$ the IIA string has 11-dimensional physics.