TY - JOUR

T1 - N = 2 superconformal blocks and instanton partition functions

AU - Belavin, V.

AU - Wyllard, Niclas

PY - 2012

Y1 - 2012

N2 - We consider the problem of computing (irregular) conformal blocks in 2d CFTs whose chiral symmetry algebra is the N =2 superconformal algebra. Our construction uses two ingredients: (i) the relation between the representation theories of the N =2 superconformal algebra and the affine sl̂(2) algebra, extended to the level of the conformal blocks, and (ii) the relation between sl̂(2) conformal blocks and instanton partition functions in the 4d N =2 SU(2) gauge theory with a surface defect. By combining these two facts we derive combinatorial expressions for the N =2 superconformal blocks in the Gaiotto limit.

AB - We consider the problem of computing (irregular) conformal blocks in 2d CFTs whose chiral symmetry algebra is the N =2 superconformal algebra. Our construction uses two ingredients: (i) the relation between the representation theories of the N =2 superconformal algebra and the affine sl̂(2) algebra, extended to the level of the conformal blocks, and (ii) the relation between sl̂(2) conformal blocks and instanton partition functions in the 4d N =2 SU(2) gauge theory with a surface defect. By combining these two facts we derive combinatorial expressions for the N =2 superconformal blocks in the Gaiotto limit.

KW - Conformal and W symmetry

KW - Duality in gauge field theories

UR - http://www.scopus.com/inward/record.url?scp=84864337408&partnerID=8YFLogxK

U2 - 10.1007/JHEP06(2012)173

DO - 10.1007/JHEP06(2012)173

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AN - SCOPUS:84864337408

SN - 1126-6708

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 173

ER -