Heterotic M(atrix) theory at generic points in Narain moduli space

Abstract

Type II compactifications with varying string coupling can be described elegantly in F-theory/M-theory as compactifications on U - manifolds. Using a similar approach to describe Super Yang-Mills with a varying coupling constant, we argue that at generic points in Narain moduli space, the $E_8\times E_8$ Heterotic string compactified on $T^2$ is described in M(atrix) theory by N=4 SYM in 3+1 dimensions with base $S^1\times C{P}^1$ and a holomorphically varying coupling constant. The $C{P}^1$ is best described as the base of an elliptic K3 whose fibre is the complexified coupling constant of the Super Yang-Mills theory leading to manifest U-duality. We also consider the cases of the Heterotic string on $S^1$ and $T^3$. The twisted sector seems to (almost) naturally appear at precisely those points where enhancement of gauge symmetry is expected and need not be postulated. A unifying picture emerges in which the U-manifolds which describe type II orientifolds (dual to the Heterotic string) as M- or F- theory compactifications play a crucial role in Heterotic M(atrix) theory compactifications.

LaTeX, 28 pages, no figures, Secs. 4.1 and 5.2 slightly modified, same conclusions

References in corpus (11)

• Matrix String Theory
• Matrix Description of M-theory on $T^5$ and $T^5/Z_2$
• Strings from Matrices
• Heterotic M(atrix) Strings and Their Interactions
• On Gauge Bosons in the Matrix Model Approach to M Theory
• Heterotic Matrix String Theory
• Rotational Invariance in the M(atrix) Formulation of Type IIB Theory
• Matrix Theory and U-Duality in Seven Dimensions
• The Incredible Shrinking Torus
• A note on T^5/Z_2 compactification of the M-theory matrix model
• Nambu-Goldstone Fields, Anomalies and WZ Terms

Cited by in corpus (7)

• U-duality and M-Theory
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
• D-strings in unconventional type I vacuum configurations
• The Hagedorn Transition and the Matrix Model for Strings
• A Matrix Model for Heterotic $Spin(32)/Z_2$ and Type I String Theory
• Heterotic Matrix String Theory and Riemann Surfaces
• Heterotic Matrix theory with Wilson lines on the lightlike circle