Abstract
2D (dimensional) Boson-Fermion correspondence is a well-known object. In this paper, we define 3D Fermions Γm→ and Γm→⁎ for any vertex m→ and the representation space F, we find that F is isomorphic to the vector space of 3D Young diagrams. Operators Γm→ and Γm→⁎ are defined with amplitudes, which are described by complex numbers e1,e2,e3 satisfying e1+e2+e3=0, then we find that Γm→ and Γm→⁎ have relations with the generators in affine Yangian, and states in F are corresponding to 3-Schur functions. We also discuss the slice of state in F, which corresponds to the slice of 3D Young diagram. Finally, we show that in special case, 3D Fermions and the representation space become ordinary 2D Fermions and charged zero Fermionic Fock space respectively.
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.
