Electronic Resource
Springer
Communications in mathematical physics
178 (1996), S. 653-677
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We define a quantum -algebra associated to $$\mathfrak{s}\mathfrak{l}_N $$ as an associative algebra depending on two parameters. For special values of the parameters, this algebra becomes the ordinary -algebra of $$\mathfrak{s}\mathfrak{l}_N $$ , or theq-deformed classical -algebra algebra of $$\mathfrak{s}\mathfrak{l}_N $$ . We construct free field realizations of the quantum -algebra and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02108819
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