2008Physics Letters BOpen access

Ternary Virasoro–Witt algebra

Thomas Curtright, D. B. Fairlie, Cosmas Zachos

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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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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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Available 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.

Key concepts: Witt algebra, Virasoro algebra, Algebra over a field, Bracket, Universal enveloping algebra, Cellular algebra, Mathematics, Filtered algebra

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