Instanton partition functions in N = 2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Journal of High Energy Physics, ISSN: 1126-6708, Vol: 2011, Issue: 2
2011
- 36Citations
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Article Description
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator. These surface operators are classified by partitions of N, and for each partition there is an associated partition function. For the partition N = N we recover the Nekrasov formalism, and when N = 1+... +1 we reproduce the result of Feigin et. al. For the case N = 1 + (N-1) our expression is consistent with an alternative formulation in terms of a restricted SU(N)×SU(N) instanton partition function. When N = 1+... +1+2 the partition functions can also be obtained perturbatively from certain W-algebras known as quasi-superconformal algebras, in agreement with a recent general proposal. © SISSA 2011.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=80053113066&origin=inward; http://dx.doi.org/10.1007/jhep02(2011)114; http://link.springer.com/10.1007/JHEP02(2011)114; http://www.springerlink.com/index/pdf/10.1007/JHEP02(2011)114; http://link.springer.com/content/pdf/10.1007/JHEP02(2011)114; http://link.springer.com/content/pdf/10.1007/JHEP02(2011)114.pdf; http://link.springer.com/article/10.1007/JHEP02(2011)114/fulltext.html; http://www.springerlink.com/index/10.1007/JHEP02(2011)114; http://dx.doi.org/10.1007/jhep02%282011%29114; https://dx.doi.org/10.1007/jhep02%282011%29114; https://link.springer.com/article/10.1007/JHEP02(2011)114
Springer Nature
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