Wilson lines and Tduality in heterotic M(atrix) theory
Abstract
We study the M(atrix) theory which describes the E_{8} × E_{8} heterotic string compactified on S^{1}, or equivalently Mtheory compactified on an orbifold ( S^{1}/ Z_{2}) × S^{1}, in the presence of a Wilson line. We formulate the corresponding M(atrix) gauge theory, which lives on a dual orbifold S^{1} × ( S^{1}/ Z_{2}) . Thirtytwo real chiral fermions must be introduced to cancel gauge anomalies. In the absence of an E_{8} × E_{8} Wilson line, these fermions are symmetrically localized on the orbifold boundaries. Turning on the Wilson line moves these fermions into the interior of the orbifold. The M(atrix) theory action is uniquely determined by gauge and supersymmetry anomaly cancelation in 2 + 1 dimensions. The action consistently incorporates the massive IIA supergravity background into M(atrix) theory by explicitly breaking (2 + 1)dimensional Poincaré invariance. The BPS excitations of M(atrix) theory are identified and compared to the heterotic string. We find that heterotic Tduality is realized as electricmagnetic Sduality in M(atrix) theory.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)006056
 arXiv:
 arXiv:hepth/9707099
 Bibcode:
 1997NuPhB.508..535K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 39 pages, 2 figures, part of subsection 3.3 corrected