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Schwarzschild Black Holes from Matrix Theory

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arxiv hep-th/9709091 v2 pith:YKZEZXMY submitted 1997-09-12 hep-th

T.Banks , W.Fischler , I.R.Klebanov , L.Susskind This is my paper · ORCID
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keywords blacktheoryequationholesmatrixorderschwarzschildarguments
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We consider Matrix theory compactified on T^3 and show that it correctly describes the properties of Schwarzschild black holes in 7+1 dimensions, including the energy-entropy relation, the Hawking temperature and the physical size, up to numerical factors of order unity. The most economical description involves setting the cut-off N in the discretized light-cone quantization to be of order the black hole entropy. A crucial ingredient necessary for our work is the recently proposed equation of state for 3+1 dimensional SYM theory with 16 supercharges. We give detailed arguments for the range of validity of this equation following the methods of Horowitz and Polchinski.

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Cited by 4 Pith papers

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  1. An exact algorithm for U(N) matrix models in the gauge-invariant singlet sector

    hep-th 2026-07 conditional novelty 7.0 of 10

    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.

  2. The black hole S-matrix in gauge/gravity duality

    hep-th 2026-07 conditional novelty 6.0 of 10

    A unitary black hole S-matrix is built in AdS/CFT via collapsing brane shells; the black hole decays by exponentially rare brane emission, and the emitted branes are argued to be the original constituents, resolving t...

  3. Fuzzy Black Holes from Mass Generation in Matrix Compactification

    hep-th 2025-11 conditional novelty 6.0 of 10

    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.

  4. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

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