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

TL;DR

This paper explores dualities between orbifold compactifications of M-theory and type II string theories in two dimensions, revealing new correspondences and comparing spectra to support these duality conjectures.

Contribution

It identifies novel dualities between specific orbifold compactifications of M-theory and type II string theories in two dimensions, and compares their spectra to provide supporting evidence.

Findings

Duality between M-theory on $T^9/J_9$ and type IIB on $T^8/I_8$

Duality between M-theory on $(K3 imes T^5)/\sigma ... J_5$ and type IIB on $(K3 imes T^4)/\sigma ... I_4$

Spectrum comparisons support the proposed dualities.

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.