Additional symmetries of the extended bigraded Toda hierarchy

Additional symmetries of the extended bigraded Toda hierarchy

The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the total descendant potential of with two orbifold points. We construct additional symmetries of the EBTH and describe explicitly their action on the Lax operator, wave operators, and tau-function of the hierarchy. In...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2016-02, Vol.49 (5), p.55201
Hauptverfasser: Bakalov, Bojko, Wheeless, William
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Construction
extended bigraded Toda hierarchy
Hierarchies
Lax operator
Mathematical analysis
Operators (mathematics)
Symmetry
tau-function
Virasoro algebra
wave function
wave operator
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Zusammenfassung:The extended bigraded Toda hierarchy (EBTH) is an integrable system satisfied by the total descendant potential of with two orbifold points. We construct additional symmetries of the EBTH and describe explicitly their action on the Lax operator, wave operators, and tau-function of the hierarchy. In particular, we obtain infinitesimal symmetries of the EBTH that act on the tau-function as a subalgebra of the Virasoro algebra, generalizing those of Dubrovin and Zhang.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/49/5/055201