M(atrix) Theory on the Negative LightFront
Abstract
M(atrix) theory defines lightfront description of Mtheory boosted along positive direction of eleventh, Mcoordinate. Rank of M(atrix) gauge group is directly related to Mmomentum $P_{11} = N / R_{11}$ or, equivalently, to total number of D0partons. Alternatively, Mtheory may be boosted along opposite direction of Mcoordinate, for which the theory consists only of antiD0 partons. In M(atrix) theory description, we interpret this as analytic continuation of dimension of the gauge group: $U(N) \sim U(N)$, $SO(2N) \sim USp(2N)$ and $USp(2N) \sim SO(2N)$. We check these reciprocity relations explicitly for uncompactified, heterotic, and CHL M(atrix) theories as well as effective M(atrix) gauge theories of $T_5/Z_2$ and $T_9/Z_2$ compactifications. In all cases, we show that absence of parity, gauge and supersymmetry anomalies require introduction of a twisted sector with negative numbers of matter multiplets. They are interpreted as massless open string excitations connected to antiDbrane background.
 Publication:

arXiv eprints
 Pub Date:
 December 1997
 DOI:
 10.48550/arXiv.hepth/9712055
 arXiv:
 arXiv:hepth/9712055
 Bibcode:
 1997hep.th...12055R
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, no figure