Notes on Soliton Bound-State Problems in Gauge Theory and String Theory

Abstract

We review four basic examples where string theory and/or field theory dualities predict the existence of soliton bound-states. These include the existence of threshold bound-states of D0 branes required by IIA/M duality and the closely-related bound-states of instantons in the maximally supersymmetric five dimensional gauge theory. In the IIB theory we discuss (p,q)-strings as bound-states of D and F strings, as well as the corresponding bound-states of monopoles and dyons in N=4 supersymmetric Yang-Mills theory whose existence was predicted by Sen. In particular we consider the L^2-index theory relevant for counting these states. In each case we show that the bulk contribution to the index can be evaluated by relating it to an instanton effect in the corresponding theory with a compact Euclidean time dimension. The boundary contribution to the index can be determined by considering the asymptotic regions of the relevant moduli space.

36 pages, latex with JHEP.cls

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Cited by in corpus (10)

• NS5-Branes, T-Duality and Worldsheet Instantons
• Classical gauge instantons from open strings
• TASI Lectures on Solitons
• Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
• Instantons, Compactification and S-duality in N=4 SUSY Yang-Mills Theory II
• U-duality from Matrix Membrane Partition Function
• Propagators in Noncommutative Instantons
• Novel Type I Compactifications
• Twisting E8 Five-Branes
• BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions