Sylvain Carpentier

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math-ph2024

Gelfand-Dickey Realizations of the supersymmetric classical W-algebras for $gl (n + 1∣ n)$ and $gl (n ∣ n)$

Sylvain Carpentier, UhiRinn Suh

In this paper we realize the supersymmetric classical $W$ -algebras $W (gl (n + 1∣ n))$ and $W (gl (n ∣ n))$ as differential a…

math-ph2023

Integrable systems on rectangular $W$ -superalgebras via super Adler-type operators

Sylvain Carpentier, Gahng Sahn Lee, Uhi Rinn Suh

In this paper, we introduce a class of super Adler-type operators associated with the Lie superalgebra $gl (m ∣ n)$ . We show that these operators generate Poisson vertex su…

Gelfand-Dickey Realizations of the supersymmetric classical W-algebras for gl(n+1∣n) and gl(n∣n)

Integrable systems on rectangular W-superalgebras via super Adler-type operators

Gelfand-Dickey Realizations of the supersymmetric classical W-algebras for $gl (n + 1∣ n)$ and $gl (n ∣ n)$

Integrable systems on rectangular $W$ -superalgebras via super Adler-type operators