Zero-energy bound states of N=4 SYM on T^3: S-duality and the mapping class group
Journal article, 2008

We continue our studies of the low-energy spectrum of N = 4 super-Yang-Mills theory on a spatial three-torus. In two previous papers, we computed the spectrum of normalizable zero-energy states for all choices of gauge group and all values of the electric and magnetic 't Hooft fluxes, and checked its invariance under the SL2(Z) S-duality group. In this paper, we refine the analysis by also decomposing the space of bound states into irreducible unitary representations of the SL3(Z) mapping class group of the three-torus. We perform a detailed study of the S-dual pairs of theories with gauge groups Spin(2n+1) and Sp(2n). The predictions of S-duality (which commutes with the mapping class group) are fulfilled as expected, but the proof requires some surprisingly intricate combinatorial infinite product identities.

Author

Måns Henningson

Chalmers, Applied Physics, Theoretical Elementary Particle Physics

Niclas Wyllard

Chalmers, Fundamental Physics

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

Vol. 0804 4 066-

Subject Categories

Subatomic Physics

DOI

10.1088/1126-6708/2008/04/066

More information

Created

10/8/2017