T Duality in M(atrix) Theory and S Duality in Field Theory

Abstract

The matrix model formulation of M theory can be generalized to compact transverse backgrounds such as tori. If the number of compact directions is K then the matrix model must be generalized to K+1 dimensional super Yang Mills theory on a compact space. If K is greater than or equal to 3, there are T dualities which which require highly nontrivial identifications between different SYM theories. In the simplest case we will see that the requirement reduces to the well known electric- magnetic duality of N=4 SYM theory in 3+1 dimensions.

arXiv comment5 pages in Phyzxx

Cited by in corpus (25)

• Matrix String Theory
• U-duality and M-Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Membrane Dynamics in M(atrix) Theory
• Long-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions
• New Perspectives on Yang-Mills Theories With Sixteen Supersymmetries
• Supermembranes with Winding
• M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles
• M(embrane) theory on $T^9$
• Duality symmetry of N=4 Yang-Mills theory on T^3
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory I
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory II
• M(atrix) Theory on T5/Z2 Orbifold and Five-Branes
• The supermembrane with winding
• A note on T^5/Z_2 compactification of the M-theory matrix model
• On The M(atrix)-Model For M-Theory On $T^6$
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• IIB/M Duality and Longitudinal Membranes in M(atrix) Theory
• From supermembrane to super Yang-Mills theory
• Non-Supersymmetric String Theory
• Little Theories in Six and Seven Dimensions
• Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
• Notes on Branes in Matrix Theory
• Oblique DLCQ M-theory and Multiple M2-branes
• Duality and Combinatorics of Long Strings in ADS3