Star product for deformed oscillator algebra $\mathsf{Aq}(2,\nu )$

Abstract

An analogue of the Moyal star product is presented for the deformed oscillator algebra. It contains several homotopy-like additional integration parameters in the multiplication kernel generalizing the differential Moyal star-product formula $\exp [i{\epsilon }_{\alpha \beta }{\partial }^{\alpha }{\partial }^{\beta }]$. Using Pochhammer formula, integration over these parameters is carried over a Riemann surface associated with the expression of the type $z^x(1-z{)}^y$ where $x$ and $y$ are arbitrary real numbers.

References in corpus (1)

• Minimal Model Holography

Cited by in corpus (1)

• Higher Spin Gravities and Presymplectic AKSZ Models