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Zero-energy bound s...
Zero-energy bound states of N=4 SYM on T^3: S-duality and the mapping class group
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- Henningson, Måns, 1964 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Wyllard, Niclas, 1971 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2008-04-17
- 2008
- Engelska.
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Ingår i: Journal of High Energy Physics. - : Springer Science and Business Media LLC. - 1029-8479 .- 1126-6708. ; 0804:4, s. 066-
- Relaterad länk:
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http://dx.doi.org/10...
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http://iopscience.io...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
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