Matrix theory, U-duality and toroidal compactifications of M-theory

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Matrix Theory , U - Duality and Toroidal Compactifications of M - Theory

Using U-duality, the properties of the matrix theories corresponding to the compactification of M-theory on T d are investigated. The couplings of the d + 1 dimensional effective Super-Yang-Mills theory to all the M-theory moduli is deduced and the spectrum of BPS branes in the SYM gives the corresponding spectrum of the matrix theory. Known results are recovered for d ≤ 5 and predictions for d...

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Unitary matrix model for toroidal compactifications of M theory

A unitary matrix model is proposed as the large-N matrix formulation of M theory on flat space with toroidal topology. The model reproduces the motion of elementary D-particles on the compact space, and admits membrane states with nonzero wrapping around nontrivial 2-tori even at finite N. † [email protected] The recently proposed matrix model approach to M-theory consists of the dimen...

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U-duality Between NCOS Theory and Matrix Theory

We show that the NCOS (noncommutative open string) theories on torus T p (p ≤ 5) are U-dual to matrix theory on torus with electric flux background. Under U-duality, the number of D-branes and the number of units of electric flux get interchanged. Furthermore under the same U-duality the decoupling limit taken in the NCOS theory maps to the decoupling limit taken in the matrix theory, thus ensu...

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A manifestly U–duality covariant approach to M–theory cosmology is developed and applied to cosmologies in dimensions D = 4, 5. Cosmological properties such as expansion powers and Hubble parameters turn out to be U–duality invariant in certain asymptotic regions. U–duality transformations acting on cosmological solutions, on the other hand, shift the transition time between two asymptotic regi...

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 1998

ISSN: 1029-8479

DOI: 10.1088/1126-6708/1998/10/011