Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups

Abstract

The low energy spectrum of (3+1)-dimensional N=4 supersymmetric Yang-Mills theory on a spatial three-torus contains a certain number of bound states, characterized by their discrete abelian magnetic and electric 't Hooft fluxes. At weak coupling, the wave-functions of these states are supported near points in the moduli space of flat connections where the unbroken gauge group is semi-simple. The number of such states is related to the number of normalizable bound states at threshold in the supersymmetric matrix quantum mechanics with 16 supercharges based on this unbroken group. Mathematically, the determination of the spectrum relies on the classification of almost commuting triples with semi-simple centralizers. We complete the work begun in a previous paper, by computing the spectrum of bound states in theories based on the even-dimensional spin groups and the exceptional groups. The results satisfy the constraints of S-duality in a rather non-trivial way.

20 pages

References in corpus (13)

• Bound States Of Strings And $p$-Branes
• Baryons And Branes In Anti de Sitter Space
• Dyon - Monopole Bound States, Self-Dual Harmonic Forms on the Multi-Monopole Moduli Space, and SL(2,Z) Invariance in String Theory
• D-particle bound states and generalized instantons
• Toroidal Compactification Without Vector Structure
• D-Brane Bound States Redux
• Witten Index and Threshold Bound States of D-Branes
• A Note on Marginally Stable Bound States in Type II String Theory
• D-particle bound states and the D-instanton measure
• Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
• Bound States at Threshold in Supersymmetric Quantum Mechanics
• Low-energy spectrum of N = 4 super-Yang-Mills on T^3: flat connections, bound states at threshold, and S-duality
• Orientifolds and twisted boundary conditions

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• The low-energy spectrum of (2,0) theory on T^5 x R
• The Weak Coupling Spectrum around Isolated Vacua in N=4 Super Yang-Mills on T^3 with any Gauge Group
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