The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a nondegenerate even lattice by an automorphism of order $2$
Abstract
Let $V_{L}$ be the vertex algebra associated to a nondegenerate even lattice $L$, $\theta$ the automorphism of $V_{L}$ induced from the $1$ symmetry of $L$, and $V_{L}^{+}$ the fixed point subalgebra of $V_{L}$ under the action of $\theta$. We classify the irreducible weak $V_{L}^{+}$modules and show that any irreducible weak $V_{L}^{+}$module is isomorphic to a weak submodule of some irreducible weak $V_{L}$module or to a submodule of some irreducible $\theta$twisted $V_{L}$module.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.07126
 Bibcode:
 2019arXiv191007126T
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 182 pages