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**Harvard**

Henningson, M. och Wyllard, N. (2007) *Low-energy spectrum of N=4 super-Yang-Mills on T-3: flat connections, bound states at threshold, and S-duality*.

** BibTeX **

@article{

Henningson2007,

author={Henningson, Måns and Wyllard, Niclas},

title={Low-energy spectrum of N=4 super-Yang-Mills on T-3: flat connections, bound states at threshold, and S-duality},

journal={Journal of High Energy Physics},

issn={1126-6708},

issue={6},

abstract={We study (3+1)-dimensional N = 4 supersymmetric Yang-Mills theory on a spatial three-torus. The low energy spectrum consists of a number of continua of states of arbitrarily low energies. Although the theory has no mass-gap, it appears that the dimensions and discrete abelian magnetic and electric 't Hooft fluxes of the continua are computable in a semi-classical approximation. The wave-functions of the low-energy states are supported on submanifolds of the moduli space of flat connections, at which various subgroups of the gauge group are left unbroken. The field theory degrees of freedom transverse to such a submanifold are approximated by supersymmetric matrix quantum mechanics with 16 supercharges, based on the semi-simple part of this unbroken group. Conjectures about the number of normalizable bound states at threshold in the latter theory play a crucial role in our analysis. In this way, we compute the low-energy spectrain the cases where the simply connected cover of the gauge group is given by SU(n), Spin(2n+1) or Sp(2n). We then show that the constraints of S-duality are obeyed for unique values of the number of bound states in the matrix quantum mechanics. In the cases based on Spin(2n+1) and Sp(2n), the proof involves surprisingly subtle combinatorial identities, which hint at a rich underlying structure.},

year={2007},

}

** RefWorks **

RT Journal Article

SR Print

ID 78263

A1 Henningson, Måns

A1 Wyllard, Niclas

T1 Low-energy spectrum of N=4 super-Yang-Mills on T-3: flat connections, bound states at threshold, and S-duality

YR 2007

JF Journal of High Energy Physics

SN 1126-6708

IS 6

AB We study (3+1)-dimensional N = 4 supersymmetric Yang-Mills theory on a spatial three-torus. The low energy spectrum consists of a number of continua of states of arbitrarily low energies. Although the theory has no mass-gap, it appears that the dimensions and discrete abelian magnetic and electric 't Hooft fluxes of the continua are computable in a semi-classical approximation. The wave-functions of the low-energy states are supported on submanifolds of the moduli space of flat connections, at which various subgroups of the gauge group are left unbroken. The field theory degrees of freedom transverse to such a submanifold are approximated by supersymmetric matrix quantum mechanics with 16 supercharges, based on the semi-simple part of this unbroken group. Conjectures about the number of normalizable bound states at threshold in the latter theory play a crucial role in our analysis. In this way, we compute the low-energy spectrain the cases where the simply connected cover of the gauge group is given by SU(n), Spin(2n+1) or Sp(2n). We then show that the constraints of S-duality are obeyed for unique values of the number of bound states in the matrix quantum mechanics. In the cases based on Spin(2n+1) and Sp(2n), the proof involves surprisingly subtle combinatorial identities, which hint at a rich underlying structure.

LA eng

OL 30