3-Algebraic structures of the quantum Calogero-Moser model

Abstract

We investigate the quantum Calogero-Moser model and reveal its hidden symmetries, i.e., the $W_{1+\infty }$ and Virasoro-Witt 3-algebras. In the large $N$ limit, we note that these two infinite dimensional 3-algebras reduce to the $w_{\infty }$ and special Virasoro-Witt 3-algebras which satisfy the fundamental identity condition, respectively.

This paper has been withdrawn by the author due to a error in algebra

References in corpus (11)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Ternary Virasoro - Witt Algebra
• Kac-Moody Extensions of 3-Algebras and M2-branes
• $w_{\infty }$ 3-algebra
• Classical and Quantal Ternary Algebras
• Super $w_{\infty }$ 3-algebra
• On q-deformed infinite-dimensional n-algebra
• (p,q)-deformed Virasoro-Witt n-algebra

Cited by in corpus (1)

• (p,q)-deformed Virasoro-Witt n-algebra