Multilocal bosonization
Mathematical Physics
2016-01-20 v2 math.MP
Quantum Algebra
Representation Theory
Abstract
We present a bilocal isomorphism between the algebra generated by a single real twisted boson field and the algebra of the boson ghost system. As a consequence of this twisted vertex algebra isomorphism we show that each of these two algebras possesses both an untwisted and a twisted Heisenberg bosonic currents, as well as three separate families of Virasoro fields. We show that this bilocal isomorphism generalizes to an isomorphism between the algebra generated by the twisted boson field with points of localization and the algebra of the symplectic bosons.
Cite
@article{arxiv.1507.08646,
title = {Multilocal bosonization},
author = {Iana I. Anguelova},
journal= {arXiv preprint arXiv:1507.08646},
year = {2016}
}
Comments
13 pages, improved notations, minor corrections, clarification for the Virasoro families, additional proofs. arXiv admin note: text overlap with arXiv:1406.5158