Orbifolds of M-Theory and Type II String Theories in Two Dimensions

Abstract

We consider several orbifold compactifications of M-theory and their corresponding type II duals in two space-time dimensions. In particular, we show that while the orbifold compactification of M-theory on $T^9/J_9$ is dual to the orbifold compactification of type IIB string theory on $T^8/I_8$, the same orbifold $T^8/I_8$ of type IIA string theory is dual to M-theory compactified on a smooth product manifold $K3\times T^5$. Similarly, while the orbifold compactification of M-theory on $(K3\times T^5)/\sigma ...J_5$ is dual to the orbifold compactification of type IIB string theory on $(K3\times T^4)/\sigma ...I_4$, the same orbifold of type IIA string theory is dual to the orbifold $T^4\times (K3\times S^1)/\sigma ...J_1$ of M-theory. The spectrum of various orbifold compactifications of M-theory and type II string theories on both sides are compared giving evidence in favor of these duality conjectures. We also comment on a connection between Dasgupta-Mukhi-Witten conjecture and Dabholkar-Park-Sen conjecture for the six-dimensional orbifold models of type IIB string theory and M-theory.

25 pages, plain latex, no figures

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