Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-08
Nucl.Phys.B525:163-181,1998
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, LaTeX2e; version to appear in Nucl. Phys. B, discussion of spectral flow in Section 2 significantly improved, minor
Scientific paper
10.1016/S0550-3213(98)00264-8
The full U-duality symmetry of toroidally compactified M-theory can only be displayed by allowing non-rectangular tori with expectation values of the gauge fields. We construct an E_d(Z) U-duality invariant mass formula incorporating non-vanishing gauge backgrounds of the M-theory three-form C. We interpret this mass formula from the point of view of the Matrix gauge theory, and identify the coupling of the three-form to the gauge theory as a topological theta term, in agreement with earlier conjectures. We give a derivation of this fact from D-brane analysis, and obtain the Matrix gauge theory description of other gauge backgrounds allowed by the Discrete Light-Cone Quantization. We further show that the conjectured extended U-duality symmetry of Matrix theory on T^d in the Discrete Light-Cone Quantization has an implementation as an action of E_{d+1}(Z) on the BPS spectrum. Some implications for the proper interpretation of the rank N of the Matrix gauge theory are discussed.
Obers Niels A.
Pioline Boris
Rabinovici Eliezer
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