From 0-Branes to Torons

Abstract

The moduli space of 0-branes on $T^4$ gives a prediction for the moduli space of torons in U(n) Super Yang Mills theory which preserve 16 supersymmetries. The zero brane number corresponds to the greatest common denominator of the rank $n$, magnetic fluxes and the instanton number. This prediction is derived using U-duality. We explicitly check this prediction by analyzing U(n) bundles with non-zero first as well as second Chern classes. The argument is extended to deduce the moduli space of torons which preserve 8 supersymmetries. Parts of the discussion extend naturally to $T^2$ and $T^3$. Some of the U-dualities involved are related to Lorentz boosts along the eleventh direction in M theory.

13 pages, TeX, one figure, refs added, minor corrections and added Comments

References in corpus (4)

• Branes from Matrices
• Branes, Fluxes and Duality in M(atrix)-Theory
• Torons and D-Brane Bound States
• Vertex Operators for Super Yang-Mills and Multi D-Branes in Green-Schwarz Superstring

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• New twist field couplings from the partition function for multiply wrapped D-branes
• Constant field strengths on T^{2n}
• Three-generation Models from E_8 Magnetized Extra Dimensional Theory
• Phenomenology of symmetry breaking from extra dimensions
• E6,7,8 Magnetized Extra Dimensional Models
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
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• Intersecting Brane World from Type I Compactification
• Matrix Theory Compactification on Noncommutative $T^4/Z_2$
• Quantum Vacua of 2d Maximally Supersymmetric Yang-Mills Theory
• Large N orbifold field theories on the twisted torus