Multilocal bosonization

Abstract

We present a bilocal isomorphism between the algebra generated by a single real twisted boson field and the algebra of the boson $\beta \gamma$ 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 $2n$ points of localization and the algebra of the $2n$ symplectic bosons.

13 pages, improved notations, minor corrections, clarification for the Virasoro families, additional proofs. arXiv admin note: text overlap with arXiv:1406.5158

References in corpus (4)

• Special Reduced Multiplets and Minimal Representations for SO(p,q)
• Multilocal fermionization
• Boson-fermion correspondence of type D-A and multi-local Virasoro representations on the Fock space $F^{\otimes \frac{1}{2}}$
• Bosonizations of ${\widehat{\mathfrak{sl}}}_2$ and Integrable Hierarchies

Cited by in corpus (2)

• The second bosonization of the CKP hierarchy
• Twisted logarithmic modules of free field algebras