Abstract
Galilean W3 vertex operator algebra (VOA) GW3(cL,cM) is constructed as a universal enveloping vertex algebra of certain non-linear Lie conformal algebra. It is proved that this algebra is simple by using the determinant formula of the vacuum module. The reducibility criterion for Verma modules is given, and the existence of subsingular vectors is demonstrated. Free field realization of GW3(cL,cM) and its highest weight modules are obtained within a rank 4 lattice VOA.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
