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
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
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 -