slˆ(n)N WZW conformal blocks from SU(N) instanton partition functions on C2/Zn
| Autor: | Trevor A. Welsh, Nicholas Macleod, Masahide Manabe, Omar Foda |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Nuclear and High Energy Physics Instanton 010308 nuclear & particles physics Conformal field theory Conformal map Field (mathematics) 01 natural sciences High Energy Physics::Theory Supersymmetric gauge theory 0103 physical sciences AGT correspondence Gauge theory Symmetry (geometry) 010306 general physics Mathematical physics |
| Zdroj: | Nuclear Physics B. 956:115038 |
| ISSN: | 0550-3213 |
| DOI: | 10.1016/j.nuclphysb.2020.115038 |
| Popis: | Generalizations of the AGT correspondence between 4D N = 2 S U ( 2 ) supersymmetric gauge theory on C 2 with Ω-deformation and 2D Liouville conformal field theory include a correspondence between 4D N = 2 S U ( N ) supersymmetric gauge theories, N = 2 , 3 , … , on C 2 / Z n , n = 2 , 3 , … , with Ω-deformation and 2D conformal field theories with W N , n p a r a (n-th parafermion W N ) symmetry and sl ˆ ( n ) N symmetry. In this work, we trivialize the factor with W N , n p a r a symmetry in the 4D S U ( N ) instanton partition functions on C 2 / Z n (by using specific choices of parameters and imposing specific conditions on the N-tuples of Young diagrams that label the states), and extract the 2D sl ˆ ( n ) N WZW conformal blocks, n = 2 , 3 , … , N = 1 , 2 , … . |
| Databáze: | OpenAIRE |
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