Eigensystem and Full Character Formula of the W1+infinity Algebra with c=1
Abstract
By using the free field realizations, we analyze the representation theory of the W1+infinity algebra with c=1. The eigenvectors for the Cartan subalgebra of W1+infinity are parametrized by the Young diagrams, and explicitly written down by W1+infinity generators. Moreover, their eigenvalues and full character formula are also obtained.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.