Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace

DOI10.1142/S0217732397002752zbMath0908.58087arXivhep-th/9704119MaRDI QIDQ4212089

Ashok Das, Henrik Aratyn, Constantin Rasinariu

Publication date: 25 October 1998

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9704119

zbMATH Keywords

superspacesupersymmetric integrable systemszero curvature formulation

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global analysis to the sciences (58Z05)

Related Items (3)

Noether symmetries and conserved quantities for spaces with a section of zero curvature ⋮ A supertrace identity and its applications to superintegrable systems ⋮ Supersymmetric Kadomtsev–Petviashvili hierarchy: “Ghost” symmetry structure, reductions, and Darboux–Bäcklund solutions

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• Lie algebras and equations of Korteweg-de Vries type
• Lie superalgebraic approach to super Toda lattice and generalized super KdV equations
• THE ZERO CURVATURE FORMULATION OF TB, sTB HIERARCHY AND TOPOLOGICAL ALGEBRAS
• ON MATRIX KP AND SUPER-KP HIERARCHIES IN THE HOMOGENEOUS GRADING
• The zero curvature formulation of the sKdV equations
• The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
• Constraints of the Kadomtsev–Petviashvili hierarchy
• ZERO CURVATURE CONDITION OF OSp(2/2) AND THE ASSOCIATED SUPERGRAVITY THEORY
• Affine Lie algebraic origin of constrained KP hierarchies
• Manifestly supersymmetric Lax integrable hierarchies

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