Limits of Matrix Theory in Curved Space

Abstract

We study curved space versions of matrix string theory taking as a definition of the theory a gauged matrix sigma model. By analyzing the divergent terms in the loop expansion for the effective action we reduce the problem to a simple matrix generalization of the standard string theory beta function calculation. It is then demonstrated that the model can only be consistent for Ricci flat manifolds with vanishing six-dimensional Euler density.

17 pages, LaTex, 3 figures, 2 references added, minor changes

References in corpus (5)

• Matrix String Theory
• Strings from Matrices
• Issues in M(atrix) Theory Compactification
• Gauge fields and interactions in matrix string theory
• Anomalies and large N limits in matrix string theory

Cited by in corpus (4)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Matrix Strings in Weakly Curved Background Fields
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications