63 citations · 234 across the 8 of their papers we have counts for
8 papers
Non-Stationary Ruijsenaars Functions for and Intertwining Operators of Ding-Iohara-Miki Algebra
Masayuki Fukuda, Yusuke Ohkubo, Jun'ichi Shiraishi
We construct the non-stationary Ruijsenaars functions (affine analogue of the Macdonald functions) in the special case , using the intertwining operators of the Ding-Io…
Generalized Macdonald Functions on Fock Tensor Spaces and Duality Formula for Changing Preferred Direction
Masayuki Fukuda, Yusuke Ohkubo, Jun'ichi Shiraishi
An explicit formula is obtained for the generalized Macdonald functions on the -fold Fock tensor spaces, calculating a certain matrix element of a composition of several screene…
Operator product expansion for conformal defects
Masayuki Fukuda, Nozomu Kobayashi, Tatsuma Nishioka
We study the operator product expansion (OPE) for scalar conformal defects of any codimension in CFT. The OPE for defects is decomposed into "defect OPE blocks", the irreducible re…
Reflection states in Ding-Iohara-Miki algebra and brane-web for D-type quiver
Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo +1
Reflection states are introduced in the vertical and horizontal modules of the Ding-Iohara-Miki (DIM) algebra (quantum toroidal ). Webs of DIM representations are…
Maulik-Okounkov's R-matrix from Ding-Iohara-Miki algebra
Masayuki Fukuda, Koichi Harada, Yutaka Matsuo +1
The integrability of 4d gauge theories has been explored in various contexts, for example the Seiberg-Witten curve and its quantization. Recently, Maulik and Okounk…
(p,q)-webs of DIM representations, 5d N=1 instanton partition functions and qq-characters
Jean-Emile Bourgine, Masayuki Fukuda, Koichi Harada +2
Instanton partition functions of 5d Super Yang-Mills reduced on can be engineered in type IIB string theory from the -branes web diagram. To this diagr…
Coherent states in quantum algebra and qq-character for 5d Super Yang-Mills
Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo +2
The instanton partition functions of 5d super Yang-Mills are built using elements of the representation theory of quantum algebra: Gaiotto…
SH Realization of Minimal Model CFT: Triality, Poset and Burge Condition
Masayuki Fukuda, Satoshi Nakamura, Yutaka Matsuo +1
Recently an orthogonal basis of -algebra (AFLT basis) labeled by -tuple Young diagrams was found in the context of 4D/2D duality. Recursion relations among the ba…