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We present a bilocal isomorphism between the algebra generated by a single real twisted boson field and the algebra of the boson βγ ghost system. As a consequence of this twisted vertex algebra isomorphism, we show that each of these two algebras possesses both untwisted and 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.
81T40, 17B69, 17B68, 81R10, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory
81T40, 17B69, 17B68, 81R10, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), Representation Theory (math.RT), Mathematical Physics, Mathematics - Representation Theory
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