Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

Abstract

In this paper, we construct the additional symmetries of one-component constrained discrete KP (cdKP) hierarchy, and then prove that the algebraic structure of the symmetry flows is the positive half of Virasoro algebra.

13 pages

References in corpus (2)

• On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula
• Virasoro constraints for Kontsevich-Hurwitz partition function

Cited by in corpus (1)

• The gauge transformation of the constrained semi-discrete KP hierarchy