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Why is the Matrix Model Correct?
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abstract
We consider the compactification of M theory on a light-like circle as a limit of a compactification on a small spatial circle boosted by a large amount. Assuming that the compactification on a small spatial circle is weakly coupled type IIA theory, we derive Susskind's conjecture that M theory compactified on a light-like circle is given by the finite $N$ version of the Matrix model of Banks, Fischler, Shenker and Susskind. This point of view provides a uniform derivation of the Matrix model for M theory compactified on a transverse torus $T^p$ for $p=0,...,5$ and clarifies the difficulties for larger values of $p$.
Forward citations
Cited by 10 Pith papers
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A Novel Matrix Model for the M5-brane?
A maximally supersymmetric formal extension of BFSS by a 5-bracket exists once the 2-bracket structure constants are promoted to a dynamical self-dual field subject to Filippov and BPS quadratic constraints.
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From Galilei to Euclidean Carroll and the Alice Particle: The Times They Are a-Changin'
Making time transversal turns p-brane Galilei limits into Euclidean p-brane Carroll limits, yielding for p=0 a centrally extended Alice algebra and Alice particle obtained from critical tachyon limits or two-time null...
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An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector
A group-theoretic algorithm computes U(N)-singlet Hamiltonian matrix elements as closed-form polynomials in N, validated for one matrix against the exact fermion mapping.
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Revisiting Schr\"odinger CFTs: Factorization, Massless Particles, and a Path to the Bootstrap
Schrödinger CFTs are reformulated via a harmonic-trap thermofield double, giving a state-operator correspondence for all operators and a factorization proof of non-renormalization.
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Wilson coefficients from a non-renormalization theorem in 2D SYM
Non-renormalization in UV 2D SYM fixes the Wilson coefficient of the DVV operator in the IR orbifold CFT, consistent with matrix string theory.
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Twisting BFSS & IKKT
The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...
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Fuzzy Black Holes from Mass Generation in Matrix Compactification
Compactifying BFSS on T^3 with mixed fermion boundary conditions yields a mass-deformed theory whose fuzzy-sphere plus fermion configurations are proposed as Schwarzschild black holes with entropy S∼N.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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A Soft Theorem from vertex-like operators in BFSS Theory
In the large-distance effective theory of BFSS, graviton-like vertex operators are shown to have correlators that factorize in the soft limit at leading and subleading order, matching the predicted BFSS soft theorem.
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On the Underlying Nonrelativistic Nature of Relativistic Holography
Standard AdS/CFT duality is reinterpreted as D-brane/black-brane duality in nonrelativistic D3-brane theory, with AdS5×S5 as a relativistic bubble in flat 3-Newton-Cartan geometry.
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