Majorana Fermions and representations of the braid group
نویسندگان
چکیده
منابع مشابه
Majorana Fermions and Representations of the Braid Group
In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra. The paper recalls and proves a general result about braid group representations associated with Clifford algebras, and compares this result with the Ivanov braiding associated with Majorana operators. The paper gen...
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We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$. We specialize the indeterminates used in defining these representations to non zero complex numbers. We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$. We then determine necessary and sufficient conditions that guarantee the irreducibility of th...
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We adapt some of the methods of quantum Teichmüller theory to construct a family of representations of the pure braid group of the sphere. This article presents a variation of the constructions of [2, 3] on the finite-dimensional representation theory of the quantum Teichmüller space. In these two earlier articles, the author and his collaborators considered the quantum Teichmüller space T S of...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2018
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x18300235