Multilocal Fermionization
Abstract
We present a simple isomorphism between the algebra of one real chiral Fermi field and the algebra of n real chiral Fermi fields. The isomorphism preserves the vacuum state. This is possible by a "change of localization", and gives rise to new multilocal symmetries generated by the corresponding multilocal current and stressenergy tensor. The result gives a common underlying explanation of several remarkable recent results on the representation of the free Bose field in terms of free Fermi fields (Anguelova, arXiv:1112.3913, 2011; Anguelova, arXiv:1206.4026, 2012), and on the modular theory of the free Fermi algebra in disjoint intervals (Casini and Huerta, Class Quant Grav 26:185005, 2009; Longo et al., Rev Math Phys 22:331354, 2010)
 Publication:

Letters in Mathematical Physics
 Pub Date:
 January 2013
 DOI:
 10.1007/s1100501205825
 arXiv:
 arXiv:1205.0324
 Bibcode:
 2013LMaPh.103...19R
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 81T40
 EPrint:
 18 pages. v2: minor corrections, reference updated