Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra
High Energy Physics - Theory
2010-02-11 v3 Quantum Algebra
Abstract
We study an analog of the AGT relation in five dimensions. We conjecture that the instanton partition function of 5D N=1 pure SU(2) gauge theory coincides with the inner product of the Gaiotto-like state in the deformed Virasoro algebra. In four dimensional case, a relation between the Gaiotto construction and the theory of Braverman and Etingof is also discussed.
Keywords
Cite
@article{arxiv.0910.4431,
title = {Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra},
author = {Hidetoshi Awata and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:0910.4431},
year = {2010}
}
Comments
12 pages, reference added, minor corrections (typos, notation changes, etc)