scholarly journals The Elliptic Gamma Function and SL(3, Z)⋉Z3

2000 ◽  
Vol 156 (1) ◽  
pp. 44-76 ◽  
Author(s):  
Giovanni Felder ◽  
Alexander Varchenko
Keyword(s):  
Gamma Function ◽  
Elliptic Gamma Function

scholarly journals A gerbe for the elliptic gamma function

2008 ◽  
Vol 141 (1) ◽  
pp. 1-74 ◽  
Author(s):  
Giovanni Felder ◽  
André Henriques ◽  
Carlo A. Rossi ◽  
Chenchang Zhu
Keyword(s):  
Gamma Function ◽  
Elliptic Gamma Function

scholarly journals Elliptic gamma-function and multi-spin solutions of the Yang–Baxter equation

2012 ◽  
Vol 856 (2) ◽  
pp. 475-496 ◽  
Author(s):  
Vladimir V. Bazhanov ◽  
Sergey M. Sergeev
Keyword(s):  
Gamma Function ◽  
Baxter Equation ◽  
Elliptic Gamma Function

scholarly journals Quasi-Hopf twist and elliptic Nekrasov factor

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Panupong Cheewaphutthisakun ◽  
Hiroaki Kanno
Keyword(s):  
Commutation Relation ◽  
Gamma Function ◽  
Gauge Theories ◽  
Toroidal Algebra ◽  
Elliptic Gamma Function ◽  
Kz Equation ◽  
Elliptic Quantum

Abstract We investigate the quasi-Hopf twist of the quantum toroidal algebra of $$ {\mathfrak{gl}}_1 $$ gl 1 as an elliptic deformation. Under the quasi-Hopf twist the underlying algebra remains the same, but the coproduct is deformed, where the twist parameter p is identified as the elliptic modulus. Computing the quasi-Hopf twist of the R matrix, we uncover the relation to the elliptic lift of the Nekrasov factor for instanton counting of the quiver gauge theories on ℝ4× T2. The same R matrix also appears in the commutation relation of the intertwiners, which implies an elliptic quantum KZ equation for the trace of intertwiners. We also show that it allows a solution which is factorized into the elliptic Nekrasov factors and the triple elliptic gamma function.

scholarly journals A study of elliptic gamma function and allies

2018 ◽  
Vol 5 (4) ◽  
Author(s):  
Vicenţiu Paşol ◽  
Wadim Zudilin
Keyword(s):  
Gamma Function ◽  
Elliptic Gamma Function

ON THE INCOMPLETE GAMMA FUNCTION AND ITS NEUTRIX CONVOLUTION FOR NEGATIVE INTEGERS

2019 ◽  
Vol 10 (1) ◽  
pp. 30-51
Author(s):  
Mongkolsery Lin ◽  
◽  
Brian Fisher ◽  
Somsak Orankitjaroen ◽  
◽  
...  
Keyword(s):  
Gamma Function ◽  
Incomplete Gamma Function
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