Ternary Virasoro - Witt Algebra
Thomas L Curtright, David B Fairlie, and Cosmas K Zachos
TL;DR
This paper introduces a novel 3-bracket variant of the Virasoro-Witt algebra using su(1,1) algebra techniques, exploring its algebraic properties and Leibniz rule consistency.
Contribution
It constructs a new ternary algebraic structure based on Virasoro-Witt algebra and verifies its Leibniz rules, expanding the algebraic framework.
Findings
Successful construction of a 3-bracket Virasoro-Witt algebra
Verification of Leibniz rules in various contexts
Extension of algebraic techniques to ternary structures
Abstract
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra