Virasoro and W-constraints for the $q$-KP hierarchy
Kelei Tian, Jingsong He, Yi Cheng
TL;DR
This paper derives Virasoro and W-constraints for the q-deformed KP hierarchy using the ASvM formula, advancing the understanding of integrable systems in quantum deformations.
Contribution
It establishes Virasoro and W-constraints for the p-reduced q-KP hierarchy based on the Adler-Shiota-van Moerbeke formula, a novel application in quantum integrable systems.
Findings
Virasoro constraints for q-KP hierarchy derived
W-constraints for q-KP hierarchy established
Framework for quantum deformed integrable systems developed
Abstract
Based on the Adler-Shiota-van Moerbeke (ASvM) formula, the Virasoro constraints and W-constraints for the p-reduced q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy are established.
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