Ground states of S-duality twisted N = 4 super Yang-Mills theory
We study the low-energy limit of a compactification of N = 4U( n ) super Yang-Mills theory on S 1 with boundary conditions modified by an S-duality and R-symmetry twist. This theory has N = 6 supersymmetry in 2+1D. We analyze the T 2 compactification of this 2+1D theory by identifying a dual weakly...
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Veröffentlicht in: | The journal of high energy physics 2011-03, Vol.2011 (3), Article 99 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We study the low-energy limit of a compactification of
N
= 4U(
n
) super Yang-Mills theory on
S
1
with boundary conditions modified by an S-duality and R-symmetry twist. This theory has
N
= 6 supersymmetry in 2+1D. We analyze the
T
2
compactification of this 2+1D theory by identifying a dual weakly coupled type-IIA background. The Hilbert space of normalizable ground states is finite-dimensional and appears to exhibit a rich structure of sectors. We identify most of them with Hilbert spaces of Chern-Simons theory (with appropriate gauge groups and levels). We also discuss a realization of a related twisted compactification in terms of the (2
,
0)-theory, where the recent solution by Gaiotto and Witten of the boundary conditions describing D3-branes ending on a (
p, q
) 5-brane plays a crucial role. |
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ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP03(2011)099 |