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Orbifolds of M-theory and type II string theories in two dimensions

1996/12/12 by Shibaji Roy · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Heterotic string theory #Mathematics #Non-critical string theory #Nonlinear Waves and Solitons #Orbifold #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String theory #Theoretical physics #Type I string theory #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00295-2

published in Nuclear Physics B 498(1-2), 175-194 (Elsevier BV) · 25 pages, plain latex, no figures

arxiv created 1996/12/12 · openalex publication_date 1997/08/01 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 T9/J9 is dual to the orbifold compactification of type IIB string theory on T8/I8, the same orbifold T8/I8 of type IIA string theory is dual to M-theory compactified on a smooth product manifold K3 × T5. Similarly, while the orbifold compactification of M-theory on (K3 × T5)/σ... J5 is dual to the orbifold compactification of type IIB string theory on (K3 × T4)/σ... I4, the same orbifold of type IIA string theory is dual to the orbifold T4 × (K3 × S1)/σ... J1 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.

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