Complete factorization in minimal N=4 Chern-Simons-matter theory
A bstract We investigate an N = 4 U N k × U N + M − k Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2 N + M dimensional integration via localization. Surprisingly, by performing the integration explicitly we find that the parti...
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Veröffentlicht in: | The journal of high energy physics 2018-01, Vol.2018 (1), p.1-23 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | A
bstract
We investigate an
N
=
4
U
N
k
×
U
N
+
M
−
k
Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2
N
+
M
dimensional integration via localization. Surprisingly, by performing the integration explicitly we find that the partition function completely factorizes into that of the pure Chern-Simons theory for two gauge groups and an analogous contribution for the bifundamental hypermultiplet. Using the factorized form of the partition function we argue the level/rank duality, which is also expected from the Hanany-Witten transition in the type IIB brane realization. We also present the all order ’t Hooft expansion of the partition function and comment on the connection to the higher-spin theory. |
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ISSN: | 1029-8479 |
DOI: | 10.1007/JHEP01(2018)001 |