{
  "id": "hep-th/9711179",
  "version": "v2",
  "published": "1997-11-24T20:14:01.000Z",
  "updated": "1998-10-07T13:23:35.000Z",
  "title": "Matrix Theory, U-Duality and Toroidal Compactifications of M-Theory",
  "authors": [
    "C. M. Hull"
  ],
  "comment": "28 Pages, Phyzzx Macro. Minor corrections",
  "journal": "JHEP 9810:011,1998",
  "doi": "10.1088/1126-6708/1998/10/011",
  "categories": [
    "hep-th"
  ],
  "abstract": "Using U-duality, the properties of the matrix theories corresponding to the compactification of M-theory on $T^d$ are investigated. The couplings of the $d+1$ dimensional effective Super-Yang-Mills theory to all the M-theory moduli is deduced and the spectrum of BPS branes in the SYM gives the corresponding spectrum of the matrix theory.Known results are recovered for $d\\le 5$ and predictions for $d>5$ are proposed. For $d>3$, the spectrum includes $d-4$ branes arising from YM instantons, and U-duality interchanges momentum modes with brane wrapping modes.For $d=6$, there is a generalised $\\th $-angle which couples to instantonic 3-branes and which combines with the SYM coupling constant to take values in $SL(2,\\R)/U(1)$, acted on by an $SL(2,\\Z)$ subgroup of the U-duality group $E_6(\\Z)$. For $d=4,7,8$, there is an $SL(d+1)$ symmetry, suggesting that the matrix theory could be a scale-invariant $d+2$ dimensional theory on $T^{d+1} \\times \\R$ in these cases, as is already known to be the case for $d=4$; evidence is found suggesting this happens for $d=8$ but not $d=7$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-10-07T13:23:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "matrix theory",
      "toroidal compactifications",
      "u-duality interchanges momentum modes",
      "dimensional effective super-yang-mills theory",
      "bps branes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP",
      "journal": "J. High Energ. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 451504
    }
  }
}