The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
By J. Källén, J. Qiu, M. Zabzine. 2012
224 citations recorded by the source corpus.
A bstractBased on the construction by Hosomichi, Seong and Terashima we consider N = 1 supersymmetric 5D Yang-Mills theory with matter on a five-sphere with radius r. This theory can be thought of as a deformation of the theory in flat space with deformation parameter r and this deformation preserves 8 supercharges. We calculate the full perturbative partition function as a function of $ {{{r} \left/ {{g_Y^2}} \right.}_M} $, where $ {g_Y}_M $ is the Yang-Mills coupling, and the answer is given in terms of a matrix model. We perform the calculation using localization techniques. We also argue that in the large N-limit of this deformed 5D Yang-Mills theory this matrix model provides the leading contribution to the partition function and the rest is exponentially suppressed.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c1be53e63e70c09c66205bfca542016d023d8bb8
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In Nuclear and High Energy Physics
- Alberto Zaffaroni
- Silviu S. Pufu
- D. Jafferis
- Hee-Cheol Kim
- A. Tomasiello
- F. Benini
- Claudius Klare
- Marcos Mariño
Citations in the corpus
- 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(5), this has been done in [36, 37].”
- Exact results for five-dimensional superconformal field theories with gravity duals (2012, result): “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”
- 5-dim superconformal index with enhanced En global symmetry (2012, background): “See the recent work [45, 46, 47] for the perturbative part of the partition function of 5-dim supersymmetric YM theory on S(5).”