On the Matrix Description of Calabi-Yau Compactifications

Abstract

We point out that the matrix description of M-theory compactified on Calabi-Yau threefolds is in many respects simpler than the matrix description of a $T^6$ compactification. This is largely because of the differences between D6 branes wrapped on Calabi-Yau threefolds and D6 branes wrapped on six-tori. In particular, if we define the matrix theory following the prescription of Sen and Seiberg, we find that the remaining degrees of freedom are decoupled from gravity.

12 pages, harvmac big; comment on 4d N=1 theories changed

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• Why is the Matrix Model Correct?
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• Compactification in the Lightlike Limit
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• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Derived Categories and Zero-Brane Stability
• The Bekenstein Formula and String Theory (N-brane Theory)
• A Critique of Pure String Theory: Heterodox Opinions of Diverse Dimensions
• Note on the Quantum Mechanics of M Theory
• Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
• General covariance of the non-abelian DBI-action
• Black Holes and Five-brane Thermodynamics
• D0-branes in Gepner models and N=2 black holes
• Linear Sigma Models for Open Strings
• K3 metrics from little string theory
• Balanced metrics and noncommutative Kaehler geometry
• Supersymmetric Matrix model on Z-orbifold
• Matrix Model on Z-Orbifold
• The Principle of Equivalence as a Guide towards Matrix Theory Compactifications
• String Duality and Novel Theories without Gravity