# A Bosonization of $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) )

A Bosonization of $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) ) A bosonization of the quantum affine superalgebra $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) ) is presented for an arbitrary level $${k \in {\bf C}}$$ k ∈ C . Screening operators that commute with $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) ) are presented for the level $${k \neq -M+N}$$ k ≠ - M + N . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematical Physics Springer Journals

# A Bosonization of $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) )

, Volume 355 (2) – Jul 11, 2017
42 pages

/lp/springer_journal/a-bosonization-of-u-q-widehat-sl-m-n-u-q-s-l-m-n-0gOv0ZuP51
Publisher
Springer Berlin Heidelberg
Subject
Physics; Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory
ISSN
0010-3616
eISSN
1432-0916
D.O.I.
10.1007/s00220-017-2957-z
Publisher site
See Article on Publisher Site

### Abstract

A bosonization of the quantum affine superalgebra $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) ) is presented for an arbitrary level $${k \in {\bf C}}$$ k ∈ C . Screening operators that commute with $${U_q(\widehat{sl}(M|N))}$$ U q ( s l ^ ( M | N ) ) are presented for the level $${k \neq -M+N}$$ k ≠ - M + N .

### Journal

Communications in Mathematical PhysicsSpringer Journals

Published: Jul 11, 2017

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