scholarly journals SOME RELATIONS BETWEEN TWISTED K-THEORY AND E8 GAUGE THEORY

Author(s):  
H. SATI
Keyword(s):  
Author(s):  
Andrei Neguţ

Abstract We construct explicit elements $W_{ij}^k$ in (a completion of) the shifted quantum toroidal algebra of type $A$ and show that these elements act by 0 on the $K$-theory of moduli spaces of parabolic sheaves. We expect that the quotient of the shifted quantum toroidal algebra by the ideal generated by the elements $W_{ij}^k$ will be related to $q$-deformed $W$-algebras of type $A$ for arbitrary nilpotent, which would imply a $q$-deformed version of the Alday-Gaiotto-Tachikawa (AGT) correspondence between gauge theory with surface operators and conformal field theory.


2004 ◽  
Vol 2004 (03) ◽  
pp. 016-016 ◽  
Author(s):  
Varghese Mathai ◽  
Hisham Sati
Keyword(s):  

2020 ◽  
Vol 24 (2) ◽  
pp. 327-457 ◽  
Author(s):  
Hans Jockers ◽  
Peter Mayr
Keyword(s):  

2002 ◽  
Vol 6 (6) ◽  
pp. 1031-1134 ◽  
Author(s):  
Duiliu-Emanuel Diaconescu ◽  
Gregory Moore ◽  
Edward Witten
Keyword(s):  
K Theory ◽  

Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  

1973 ◽  
Vol 6 (1) ◽  
pp. 85-94 ◽  
Author(s):  
Pramod K. Sharma ◽  
Jan R. Strooker
Keyword(s):  

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