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On the Supergravity Gauge theory Correspondence and the Matrix Model
High Energy Physics - Theory · Submitted 21 Jun 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular the compactification of the Matrix model on $T_3$ is compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out.
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The abstract, sentence by sentence
We review the assumptions and the logic underlying the derivation of DLCQ Matrix models. In particular we try to clarify what remains valid at finite $N$, the role of the non-renormalization theorems and higher order terms in the supergravity expansion. The relation to Maldacena's conjecture is also discussed. In particular the compactification of the Matrix model on $T_3$ is compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We review the assumptions and the logic underlying the derivation of DLCQ Matrix models. | contribution 0.96 | 0.61 | 0.07 | asserted 0.84 |
| s1 | In particular we try to clarify what remains valid at finite $N$, the role of the non-renormalization theorems and higher order terms in the supergravity expansion. | contribution 0.98 | 0.70 | 0.09 | unclear 0.52 |
| s2 | The relation to Maldacena's conjecture is also discussed. | contribution 0.74 | 0.51 | 0.05 | asserted 0.76 |
| s3 | In particular the compactification of the Matrix model on $T_3$ is compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out. | contribution 0.86 | 0.70 | 0.17 | asserted 0.99 |
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Original abstract
We review the assumptions and the logic underlying the derivation of DLCQ Matrix models. In particular we try to clarify what remains valid at finite $N$, the role of the non-renormalization theorems and higher order terms in the supergravity expansion. The relation to Maldacena's conjecture is also discussed. In particular the compactification of the Matrix model on $T_3$ is compared to the $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out.
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2 arXiv papers cite this in 2 sentences
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Cites it as background 2 papers
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And indeed, the fact that the same MSYM theories played a certain role in Matrix theory and a somewhat similar role in holography gave rise to various attempts to clarify the relation between the Matrix theory and AdS/CFT conjectures— see, e.g., [ref] .
On the Underlying Nonrelativistic Nature of Relativistic Holography · Antecedents · 0.94
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For a variety of other complementary contemporaneous discussions, see [ref] (for some more recent discussion see [ref] ).
Matrix Theory Reloaded: A BPS Road to Holography · To Holography... · 0.97
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