M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory

MIT); Washington Taylor (ITP

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M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory

Washington Taylor (ITP, MIT)

High Energy Physics - Theory · Submitted 19 Jan 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that matrix theory is a well-defined quantum theory which reduces to a supersymmetric theory of gravity at low energies.

how it is stated · asserted 1.00 read the record →

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 8,067 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.58 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

A self-contained review is given of the matrix model of M-theory. The introductory part of the review is intended to be accessible to the general reader. M-theory is an eleven-dimensional quantum theory of gravity which is believed to underlie all superstring theories. This is the only candidate at present for a theory of fundamental physics which reconciles gravity and quantum field theory in a potentially realistic fashion. Evidence for the existence of M-theory is still only circumstantial---no complete background-independent formulation of the theory yet exists. Matrix theory was first developed as a regularized theory of a supersymmetric quantum membrane. More recently, the theory appeared in a different guise as the discrete light-cone quantization of M-theory in flat space. These two approaches to matrix theory are described in detail and compared. It is shown that matrix theory is a well-defined quantum theory which reduces to a supersymmetric theory of gravity at low energies. Although the fundamental degrees of freedom of matrix theory are essentially pointlike, it is shown that higher-dimensional fluctuating objects (branes) arise through the nonabelian structure of the matrix degrees of freedom. The problem of formulating matrix theory in a general space-time background is discussed, and the connections between matrix theory and other related models are reviewed.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	A self-contained review is given of the matrix model of M-theory.	contribution 0.95	0.69	0.05	asserted 0.97
s1	The introductory part of the review is intended to be accessible to the general reader.	background 0.41	0.50	0.02	asserted 0.96
s2	M-theory is an eleven-dimensional quantum theory of gravity which is believed to underlie all superstring theories.	background 1.00	0.05	0.05	asserted 0.51
s3	This is the only candidate at present for a theory of fundamental physics which reconciles gravity and quantum field theory in a potentially realistic fashion.	background 0.97	0.06	0.07	asserted 0.70
s4	Evidence for the existence of M-theory is still only circumstantial---no complete background-independent formulation of the theory yet exists.	background 0.43	0.09	0.03	asserted 0.96
s5	Matrix theory was first developed as a regularized theory of a supersymmetric quantum membrane.	background 0.99	0.08	0.03	asserted 1.00
s6	More recently, the theory appeared in a different guise as the discrete light-cone quantization of M-theory in flat space.	background 0.96	0.10	0.03	asserted 0.95
s7	These two approaches to matrix theory are described in detail and compared.	contribution 0.83	0.60	0.04	asserted 0.89
s8	It is shown that matrix theory is a well-defined quantum theory which reduces to a supersymmetric theory of gravity at low energies.	result 0.97	0.79	0.57	asserted 1.00
s9	Although the fundamental degrees of freedom of matrix theory are essentially pointlike, it is shown that higher-dimensional fluctuating objects (branes) arise through the nonabelian structure of the matrix degrees of freedom.	result 0.96	0.78	0.16	asserted 1.00
s10	The problem of formulating matrix theory in a general space-time background is discussed, and the connections between matrix theory and other related models are reviewed.	contribution 0.77	0.34	0.04	asserted 0.55

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.76.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

A self-contained review is given of the matrix model of M-theory. The introductory part of the review is intended to be accessible to the general reader. M-theory is an eleven-dimensional quantum theory of gravity which is believed to underlie all superstring theories. This is the only candidate at present for a theory of fundamental physics which reconciles gravity and quantum field theory in a potentially realistic fashion. Evidence for the existence of M-theory is still only circumstantial---no complete background-independent formulation of the theory yet exists. Matrix theory was first developed as a regularized theory of a supersymmetric quantum membrane. More recently, the theory appeared in a different guise as the discrete light-cone quantization of M-theory in flat space. These two approaches to matrix theory are described in detail and compared. It is shown that matrix theory is a well-defined quantum theory which reduces to a supersymmetric theory of gravity at low energies. Although the fundamental degrees of freedom of matrix theory are essentially pointlike, it is shown that higher-dimensional fluctuating objects (branes) arise through the nonabelian structure of the matrix degrees of freedom. The problem of formulating matrix theory in a general space-time background is discussed, and the connections between matrix theory and other related models are reviewed.

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References

Forward citations

Cited by 24 Pith papers

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How the literature uses it

58 arXiv papers cite this in 70 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

Cites it as support 1 paper

This conjecture is corroborated further through string-theoretical matrix models such as the IKKT model [ref] , the description of gravitons in the BFSS matrix model and related models [ref] , and matrix-models describing curved or "fuzzy" quantum spaces [ref] .

Emergent Geometry and Gravity from Matrix Models: an Introduction · Introduction · 0.99

Cites it as background 43 papers

The first is a top-down construction provided by the Banks-Fischler-Shenker-Susskind (BFSS) matrix model, which relates M-theory in flat spacetime to a theory of matrix quantum mechanics describing non-relativistic D0-branes in type IIA string theory [ref] .

Lorentz Symmetry and IR Structure of The BFSS Matrix Model · Introduction · 0.99
The proposal of [ref] is that in the large-$N$ limit the action ([ref]) yields a non-perturbation definition of M-theory (see [ref] for a detailed review of this proposal using the discrete light-cone quantization in the `infinite-momentum frame').

Emergent Cosmology from Matrix Theory · Background · 0.99
In this section we briefly review the relevant features of the BFSS matrix theory [ref] , which conjectures that the compactification of M-theory on a lightlike circle $X^- ∼X^- + 2 πR$ with momentum $P^+ = N/R$ is dual to the low-energy dynamics of $N$ D0-branes in 10 dimensions or, equivalently, a certain supersymmetric quantum mechanical theory of $N×N$ Hermitian matrices.

Soft Gravitons in the BFSS Matrix Model · Matrix Model Review · 1.00

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