On AGT-W Conjecture and q-Deformed W-Algebra
Masato Taki
TL;DR
This paper extends the AGT-W conjecture to five-dimensional SU(N) gauge theories, linking Nekrasov partition functions with scalar products in q-deformed W_N algebras, revealing new mathematical structures in gauge theory.
Contribution
It introduces a 5d extension of the AGT-W conjecture, connecting Nekrasov functions with q-deformed W_N algebra representations.
Findings
Nekrasov partition functions match scalar products of Gaiotto-Whittaker vectors
Extension of AGT-W conjecture to 5d theories
New insights into q-deformed algebraic structures
Abstract
We propose an extension of the Alday-Gaiotto-Tachikawa-Wyllard conjecture to 5d SU(N) gauge theories. A Nekrasov partition function then coincides with the scalar product of the corresponding Gaiotto-Whittaker vectors of the q-deformed W_N algebra.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons