Notes on 3-point functions of A_{N-1} Toda theory and AGT-W relation for SU(N) quiver
arXiv:1111.1899 · doi:10.1007/JHEP12(2011)108
Abstract
We study on the property of 3-point correlation functions of 2-dim A_{N-1} Toda field theory, and show the correspondence with the 1-loop part of partition function of 4-dim N=2 SU(N) quiver gauge theory. As a result, we can check successfully the 1-loop part of AGT-W relation for all the cases of SU(N) quiver gauge group.
32 pages, v2: a reference added
References in corpus (22)
- A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
- On AGT relation in the case of U(3)
- On combinatorial expansion of the conformal blocks arising from AGT conjecture
- Correlation functions in conformal Toda field theory I
- Proving AGT conjecture as HS duality: extension to five dimensions
- A direct proof of AGT conjecture at beta = 1
- Integrable structure, W-symmetry and AGT relation
- Affine sl(N) conformal blocks from N=2 SU(N) gauge theories
- Conformal blocks in Virasoro and W theories: duality and the Calogero-Sutherland model
- Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial
- AGT conjecture and Integrable structure of Conformal field theory for c=1
- Towards a proof of AGT conjecture by methods of matrix models
- Coset conformal blocks and N=2 gauge theories
- Non-Perturbative Topological Strings And Conformal Blocks
- Selberg Integral and SU(N) AGT Conjecture
- Classical conformal blocks from TBA for the elliptic Calogero-Moser system
- Generalized matrix models and AGT correspondence at all genera
- W(1+infinity) algebra as a symmetry behind AGT relation
- Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling pants
- (de)Tails of Toda CFT
- AGT conjecture and AFLT states: a complete construction
- Calogero-Sutherland model in interacting fermion picture and explicit construction of Jack states