\(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\)

DOI10.1023/A:1007308403718zbMath0965.17008arXivq-alg/9701032MaRDI QIDQ1373297

Hidetoshi Awata, Jun'ichi Shiraishi, Satoru Odake

Publication date: 14 December 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9701032

zbMATH Keywords

quantum superalgebraquantum deformationWakimoto modulequantum affine superalgebra\(q\)-difference realizationfree boson realization

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Additive difference equations (39A10)

Related Items (10)

On the quantum affine superalgebra \(U_q(\widehat{\text{gl}}(2|2))\) at level one ⋮ A bosonization of \(U_q\left(\widehat{sl}(M| N)\right)\) ⋮ A note on \(q\)-oscillator realizations of \(U_q(gl(M|N))\) for Baxter \(Q\)-operators ⋮ Vertex operators of Uq[gl(N∧|N) and highest weight representations of Uq[gl(2|∧2)]] ⋮ U q [sl (2| ∧ 1) vertex operators, screen currents, and correlation functions at an arbitrary level] ⋮ Highest weight representations of \(U_q(\widehat{\text{sl}}(2|1))\) and correlation functions of the \(q\)-deformed supersymmetric \(t\)-\(J\) model ⋮ The q-Wakimoto Realization of the Superalgebras $$U_{q}(\widehat{sl}(N|1))$$ and $$U_{q,p}(\widehat{sl}(N|1))$$ ⋮ Free field realization of quantum affine superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1)) ⋮ Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N̂|N)] ⋮ Screenings and vertex operators of quantum superalgebra $U_q(\widehat{{sl}}(N|1))$Uq(sl̂(N|1))

This page was built for publication: \(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\)