Supersymmetric gauge theories on the five-sphere

By K. Hosomichi, Rak-Kyeong Seong, S. Terashima. 2012

192 citations recorded by the source corpus.

Abstract We construct Euclidean 5d supersymmetric gauge theories on the five-sphere with vector and hypermultiplets. The SUSY transformation and the action are explicitly determined from the standard Noether procedure as well as from off-shell supergravity. Using localization techniques, the path-integral is shown to be restricted to the integration over a generalization of instantons on CP 2 and the Coulomb moduli.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/67a1a50d6fe72d406f0da94c28f2c275f4a61e1f

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Citations in the corpus

Partition Functions of $${\mathcal{N}=(2,2)}$$N=(2,2) Gauge Theories on S2 and Vortices (2012, methodology): “Similar properties have been observed in three, four and five dimensions [3,5,7,20].”
Seiberg-Witten theories on ellipsoids (2012, background): “Similar off-shell transformation rule which makes use of constrained transformation parameters like ξ̌, ̄̌ ξ here has been written down for 4D N = 4 gauge theories on S4 in [2], and for 5D SUSY theories on S5 in [30].”
Instantons on the 5-sphere and M5-branes (2012, methodology): “The Hopf fiber on the round S(5) is picked by selecting a SUSY among 8 (in [14, 16, 13]) or among 16 (in [13]).”
Exact results for five-dimensional superconformal field theories with gravity duals (2012, background): “As shown in [23] (see [21, 22] for earlier work and also [40]), the S5 partition function of 5d Yang-Mills theory with gauge group G and matter hyper multiplets in representations Ri takes the form”
Supersymmetric field theories on three-manifolds (2012, background): “1 For related work in two and five dimensions, see [14-16] and [17-20], respectively.”
Supersymmetry on curved spaces and holography (2012, background): “It is hence of double interest to look at the partition function of five dimensional field theories on S, this has been done in [36, 37].”
The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere (2012, methodology): “The claim in [6] is that the corresponding action on S(5) is invariant under the transformation (2.”
5-dim superconformal index with enhanced En global symmetry (2012, methodology): “Instead one can find the off-shell formalism for any chosen supercharge, which partially breaks the superconformal algebra, using the method suggested in [59].”
M5-branes from gauge theories on the 5-sphere (2012, background): “With a bosonic ǫ chosen among the 8 SUSY generators explained above, we follow [24] and consider another bosonic spinor parameter ǫ̂ satisfying ǫǫ = ǫ̂ǫ̂ , (ǫ)Cǫ̂ ′ = 0 , ǫγǫ+ ǫ̂γǫ̂ = 0 .”