Note on refined topological vertex, Jack polynomials and instanton counting

Abstract

In this article, we calculated the refined topological vertex for the one parameter case using the Jack symmetric functions. Also, we obtain the partition function for elliptic N=2 models, the results coincide with those of Nekrasov instanton counting partition functions for the $N=2^{\ast }$ theories.

23pages, 8figures

References in corpus (7)

• S-duality in N=2 supersymmetric gauge theories
• On AGT relation in the case of U(3)
• Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Asymptotically free N=2 theories and irregular conformal blocks
• The Power of Nekrasov Functions
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills

Cited by in corpus (2)

• A direct proof of AGT conjecture at beta = 1
• AGT conjecture and AFLT states: a complete construction