Instantons on the 5-sphere and M5-branes
By Hee-Cheol Kim, Joonho Kim, Seok Kim. 2012
140 citations recorded by the source corpus.
We calculate the partition functions of supersymmetric gauge theories on S^5, which acquire non-perturbative contributions from instanton loops wrapping its Hopf fiber. The instantons on the CP^2 base equivariantly localize to 3 fixed points of SU(3) Cartans. Using our results, we study the index of the 6d (2,0) theory. We first study the partition functions of maximal SYM with AD(E) gauge groups, which agree with the gravity dual indices on AdS_7 in the large N limits. We also show that the most general partition function of the Abelian theory agrees with the index for a free 6d tensor supermultiplet. We explain possible ambiguities in our 5d approach, role of maximal SUSY, and the Wilson loops on S^5 dual to M2-brane Wilson surfaces in AdS_7.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/397517a5df4b483776a3eb18c5bda096ac3cf7c9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- C. Vafa
- Amer Iqbal
- C. Kozçaz
- Babak Haghighat
- G. Lockhart
- Z. Komargodski
- A. Tomasiello
- Alberto Zaffaroni
In Nuclear and High Energy Physics
- C. Vafa
- C. Kozçaz
- Amer Iqbal
- A. Tomasiello
- Alberto Zaffaroni
- Marcos Mariño
- Babak Haghighat
- G. Lockhart
Citations in the corpus
- Orbifolds of M-strings (2013, methodology): “Furthermore, since we can use this building block to compute the superconformal index of the 6d theory [30, 31], we have thus effectively related the superconformal index in 6d to the computation of elliptic genera on the collection of 2d theories living on the resulting strings.”
- M-Strings (2013, methodology): “This in turn can be used to compute the index of M5 branes [12, 13].”
- Supersymmetry on curved spaces and holography (2012, background): “Another interesting idea is to extend the S partition function to the six-dimensional index, which is discussed in [39], also here a N behaviour could be observed.”
- Cardy formulae for SUSY theories in d = 4 and d = 6 (2014, background): “Various proposals for the computation of the S(5) × S(1) index in these theories have been put forward in the literature, see for instance [52,38,59,60].”