scholarly journals Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence

2017 ◽  
Vol 58 (7) ◽  
pp. 071704 ◽  
Author(s):  
Hidetoshi Awata ◽  
Hiroki Fujino ◽  
Yusuke Ohkubo
Keyword(s):  
Virasoro Algebra ◽  
Agt Correspondence ◽  
Deformed Virasoro Algebra

scholarly journals The Deformed Virasoro Algebra at Roots of Unity

1998 ◽  
Vol 196 (2) ◽  
pp. 249-288 ◽  
Author(s):  
Peter Bouwknegt ◽  
Krzysztof Pilch
Keyword(s):  
Virasoro Algebra ◽  
Roots Of Unity ◽  
Deformed Virasoro Algebra

A (p,q)-deformed Virasoro algebra

1992 ◽  
Vol 25 (9) ◽  
pp. 2607-2614 ◽  
Author(s):  
R Chakrabarti ◽  
R Jagannathan
Keyword(s):  
Virasoro Algebra ◽  
Deformed Virasoro Algebra

scholarly journals A note on the deformed Virasoro algebra

1996 ◽  
Vol 367 (1-4) ◽  
pp. 121-125 ◽  
Author(s):  
Sergei Lukyanov
Keyword(s):  
Virasoro Algebra ◽  
Deformed Virasoro Algebra

scholarly journals Lattice models, deformed Virasoro algebra and reduction equation

2020 ◽  
Vol 53 (24) ◽  
pp. 245202
Author(s):  
Michael Lashkevich ◽  
Yaroslav Pugai ◽  
Jun’ichi Shiraishi ◽  
Yohei Tutiya
Keyword(s):  
Lattice Models ◽  
Virasoro Algebra ◽  
Reduction Equation ◽  
Deformed Virasoro Algebra

scholarly journals FREE FIELD CONSTRUCTIONS FOR THE ELLIPTIC ALGEBRA $\rscr{A}_{q,p}(\widehat{sl}_2)$ AND BAXTER'S EIGHT-VERTEX MODEL

2004 ◽  
Vol 19 (supp02) ◽  
pp. 363-380 ◽  
Author(s):  
J. SHIRAISHI
Keyword(s):  
Integral Formula ◽  
Free Field ◽  
Virasoro Algebra ◽  
Vertex Operators ◽  
Vertex Model ◽  
Elliptic Algebra ◽  
Deformed Virasoro Algebra ◽  
The One ◽  
Level 2 ◽  
Elliptic Quantum

Three examples of free field constructions for the vertex operators of the elliptic quantum group [Formula: see text] are obtained. Two of these ( for p1/2=±q3/2, p1/2=-q2) are based on representation theories of the deformed Virasoro algebra, which correspond to the level 4 and level 2 Z-algebra of Lepowsky and Wilson. The third one (p1/2=q3) is constructed over a tensor product of a bosonic and a fermionic Fock spaces. The algebraic structure at (p1/2=q3), however, is not related to the deformed Virasoro algebra. Using these free field constructions, an integral formula for the correlation functions of Baxter's eight-vertex model is obtained. This formula shows different structure compared with the one obtained by Lashkevich and Pugai.

GENERALIZED DEFORMED VIRASORO ALGEBRAS

1992 ◽  
Vol 07 (09) ◽  
pp. 809-816 ◽  
Author(s):  
C. DASKALOYANNIS
Keyword(s):  
Virasoro Algebra ◽  
Oscillator Algebra ◽  
Special Cases ◽  
Deformed Oscillator ◽  
Deformed Algebra ◽  
Deformed Oscillator Algebra ◽  
Deformed Virasoro Algebra

The deformed Virasoro algebra is a structure, generated by a generalized deformed oscillator algebra. The usual or the q-deformed centerless Virasoro algebras are special cases of this structure, and their properties can be reduced from the properties of the generalized deformed algebra. The construction of other deformed Virasoro algebras is given, using known deformation schemes other than the q-deformation.

Sign in / Sign up

Export Citation Format

Share Document