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Awata, Hidetoshi

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Author ID: awata.hidetoshi Recent zbMATH articles by "Awata, Hidetoshi"
Published as: Awata, Hidetoshi; Awata, H.
Documents Indexed: 45 Publications since 1992

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 704 times in 364 Documents Cited by Year
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions. Zbl 0867.17010
Shiraishi, Jun’ichi; Kubo, Harunobu; Awata, Hidetoshi; Odake, Satoru
74
1996
Five-dimensional AGT conjecture and the deformed Virasoro algebra. Zbl 1269.81157
Awata, Hidetoshi; Yamada, Yasuhiko
74
2010
Refined BPS state counting from Nekrasov’s formula and Macdonald functions. Zbl 1170.81423
Awata, Hidetoshi; Kanno, Hiroaki
53
2009
Five-dimensional AGT relation and the deformed \(\beta \)-ensemble. Zbl 1201.81074
Awata, Hidetoshi; Yamada, Yasuhiko
46
2010
Quantum algebraic approach to refined topological vertex. Zbl 1309.81112
Awata, H.; Feigin, B.; Shiraishi, J.
45
2012
Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials. Zbl 0873.17016
Awata, H.; Kubo, H.; Odake, S.; Shiraishi, J.
44
1996
Collective field theory, Calogero-Sutherland model and generalized matrix models. Zbl 0894.17027
Awata, H.; Matsuo, Y.; Odake, S.; Shiraishi, J.
44
1995
Localization with a surface operator, irregular conformal blocks and open topological string. Zbl 1273.81178
Awata, Hidetoshi; Fuji, Hiroyuki; Kanno, Hiroaki; Manabe, Masahide; Yamada, Yasuhiko
30
2012
Explicit examples of DIM constraints for network matrix models. Zbl 1390.81206
Awata, Hidetoshi; Kanno, Hiroaki; Matsumoto, Takuya; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
30
2016
Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra. Zbl 0894.17024
Awata, H.; Matsuo, Y.; Odake, S.; Shiraishi, J.
25
1995
Fusion rules for the fractional level \(\widehat{\text{sl}}(2)\) algebra. Zbl 1021.81529
Awata, Hidetoshi; Yamada, Yasuhiko
20
1992
Volume conjecture: refined and categorified. Zbl 1282.57016
Fuji, Hiroyuki; Gukov, Sergei; Sułkowski, Piotr; Awata, Hidetoshi
19
2012
Free boson realization of \(U_ q(\widehat{sl_ N} )\). Zbl 0797.17009
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
16
1994
Changing the preferred direction of the refined topological vertex. Zbl 1261.81088
Awata, Hidetoshi; Kanno, Hiroaki
16
2013
\((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces. Zbl 1388.81623
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Suetake, Kazuma; Zenkevich, Yegor
16
2018
Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra. Zbl 0853.17023
Awata, H.; Fukuma, M.; Matsuo, Y.; Odake, S.
15
1995
Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models. Zbl 1360.81261
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
14
2017
Integral representations of the Macdonald symmetric polynomials. Zbl 0849.05069
Awata, H.; Odake, S.; Shiraishi, J.
13
1996
Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence. Zbl 1422.17024
Awata, Hidetoshi; Fujino, Hiroki; Ohkubo, Yusuke
12
2017
Representation theory of the \(W_{1+\infty}\) algebra. Zbl 0882.17016
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
10
1995
Macdonald operators and homological invariants of the colored Hopf link. Zbl 1235.81105
Awata, Hidetoshi; Kanno, Hiroaki
9
2011
Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations. Zbl 1390.81221
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
9
2016
\(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\). Zbl 0965.17008
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
8
1997
Virasoro-type symmetries in solvable models. Zbl 0953.17013
Awata, Hidetoshi; Kubo, Harunobu; Odake, Satoru; Shiraishi, Jun’ichi
7
1997
Collective field description of spin Calogero-Sutherland models. Zbl 0897.47059
Awata, H.; Matsuo, Y.; Yamamoto, T.
7
1996
Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra. Zbl 0832.17026
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
7
1995
Determinant formulae of quasi-finite representation of \(W_{1+\infty}\) algebra at lower levels. Zbl 0894.17020
Awata, H.; Fukuma, M.; Matsuo, Y.; Odake, S.
7
1994
Subalgebras of \(W_{1+\infty}\) and their quasifinite representations. Zbl 0852.17025
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
5
1995
Eigensystem and full character formula of the \(\mathcal W_{1+\infty}\) algebra with \(c=1\). Zbl 0806.17026
Awata, Hidetoshi; Fukuma, Masafumi; Odake, Satoru; Quano, Yas-Hiro
5
1994
Free boson representation of \(U_ q(\widehat {sl}_ 3)\). Zbl 0787.17009
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
5
1994
Vertex operators of the \(q\)-Virasoro algebra; defining relations, adjoint actions and four point functions. Zbl 0896.17007
Awata, Hidetoshi; Kubo, Harunobu; Morita, Yoshifumi; Odake, Satoru; Shiraishi, Jun’ichi
4
1997
AdS\(_7\)/CFT\(_6\) correspondence and matrix models of M5-branes. Zbl 0957.81014
Awata, Hidetoshi; Hirano, Shinji
3
1999
Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold. Zbl 0787.17008
Awata, Hidetoshi; Noumi, Masatoshi; Odake, Satoru
3
1994
The MacMahon R-matrix. Zbl 1415.81029
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Suetake, Kazuma; Zenkevich, Yegor
3
2019
On a complete solution of the quantum Dell system. Zbl 1436.81129
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei
2
2020
Representation theory of \(W_{1+\infty}\) algebra. Zbl 0894.17021
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
1
1995
Screening currents Ward identity and integral formulas for the WZNW correlation functions. Zbl 0832.17030
Awata, Hidetoshi
1
1992
Comments on the problem of a covariant formulation of Matrix theory. Zbl 0958.81071
Awata, Hidetoshi; Minic, Djordje
1
1998
Five-dimensional AGT relation, \(q\)-\({\mathcal W}\) algebra and deformed \(\beta\)-ensemble. Zbl 1237.81099
Awata, Hidetoshi; Yamada, Yasuhiko
1
2011
On a complete solution of the quantum Dell system. Zbl 1436.81129
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei
2
2020
The MacMahon R-matrix. Zbl 1415.81029
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Suetake, Kazuma; Zenkevich, Yegor
3
2019
\((q, t)\)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces. Zbl 1388.81623
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Suetake, Kazuma; Zenkevich, Yegor
16
2018
Anomaly in \(\mathcal{RTT}\) relation for DIM algebra and network matrix models. Zbl 1360.81261
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
14
2017
Crystallization of deformed Virasoro algebra, Ding-Iohara-Miki algebra, and 5D AGT correspondence. Zbl 1422.17024
Awata, Hidetoshi; Fujino, Hiroki; Ohkubo, Yusuke
12
2017
Explicit examples of DIM constraints for network matrix models. Zbl 1390.81206
Awata, Hidetoshi; Kanno, Hiroaki; Matsumoto, Takuya; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
30
2016
Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations. Zbl 1390.81221
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ohkubo, Yusuke; Zenkevich, Yegor
9
2016
Changing the preferred direction of the refined topological vertex. Zbl 1261.81088
Awata, Hidetoshi; Kanno, Hiroaki
16
2013
Quantum algebraic approach to refined topological vertex. Zbl 1309.81112
Awata, H.; Feigin, B.; Shiraishi, J.
45
2012
Localization with a surface operator, irregular conformal blocks and open topological string. Zbl 1273.81178
Awata, Hidetoshi; Fuji, Hiroyuki; Kanno, Hiroaki; Manabe, Masahide; Yamada, Yasuhiko
30
2012
Volume conjecture: refined and categorified. Zbl 1282.57016
Fuji, Hiroyuki; Gukov, Sergei; Sułkowski, Piotr; Awata, Hidetoshi
19
2012
Macdonald operators and homological invariants of the colored Hopf link. Zbl 1235.81105
Awata, Hidetoshi; Kanno, Hiroaki
9
2011
Five-dimensional AGT relation, \(q\)-\({\mathcal W}\) algebra and deformed \(\beta\)-ensemble. Zbl 1237.81099
Awata, Hidetoshi; Yamada, Yasuhiko
1
2011
Five-dimensional AGT conjecture and the deformed Virasoro algebra. Zbl 1269.81157
Awata, Hidetoshi; Yamada, Yasuhiko
74
2010
Five-dimensional AGT relation and the deformed \(\beta \)-ensemble. Zbl 1201.81074
Awata, Hidetoshi; Yamada, Yasuhiko
46
2010
Refined BPS state counting from Nekrasov’s formula and Macdonald functions. Zbl 1170.81423
Awata, Hidetoshi; Kanno, Hiroaki
53
2009
AdS\(_7\)/CFT\(_6\) correspondence and matrix models of M5-branes. Zbl 0957.81014
Awata, Hidetoshi; Hirano, Shinji
3
1999
Comments on the problem of a covariant formulation of Matrix theory. Zbl 0958.81071
Awata, Hidetoshi; Minic, Djordje
1
1998
\(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\). Zbl 0965.17008
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
8
1997
Virasoro-type symmetries in solvable models. Zbl 0953.17013
Awata, Hidetoshi; Kubo, Harunobu; Odake, Satoru; Shiraishi, Jun’ichi
7
1997
Vertex operators of the \(q\)-Virasoro algebra; defining relations, adjoint actions and four point functions. Zbl 0896.17007
Awata, Hidetoshi; Kubo, Harunobu; Morita, Yoshifumi; Odake, Satoru; Shiraishi, Jun’ichi
4
1997
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions. Zbl 0867.17010
Shiraishi, Jun’ichi; Kubo, Harunobu; Awata, Hidetoshi; Odake, Satoru
74
1996
Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials. Zbl 0873.17016
Awata, H.; Kubo, H.; Odake, S.; Shiraishi, J.
44
1996
Integral representations of the Macdonald symmetric polynomials. Zbl 0849.05069
Awata, H.; Odake, S.; Shiraishi, J.
13
1996
Collective field description of spin Calogero-Sutherland models. Zbl 0897.47059
Awata, H.; Matsuo, Y.; Yamamoto, T.
7
1996
Collective field theory, Calogero-Sutherland model and generalized matrix models. Zbl 0894.17027
Awata, H.; Matsuo, Y.; Odake, S.; Shiraishi, J.
44
1995
Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra. Zbl 0894.17024
Awata, H.; Matsuo, Y.; Odake, S.; Shiraishi, J.
25
1995
Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra. Zbl 0853.17023
Awata, H.; Fukuma, M.; Matsuo, Y.; Odake, S.
15
1995
Representation theory of the \(W_{1+\infty}\) algebra. Zbl 0882.17016
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
10
1995
Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra. Zbl 0832.17026
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
7
1995
Subalgebras of \(W_{1+\infty}\) and their quasifinite representations. Zbl 0852.17025
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
5
1995
Representation theory of \(W_{1+\infty}\) algebra. Zbl 0894.17021
Awata, Hidetoshi; Fukuma, Masafumi; Matsuo, Yutaka; Odake, Satoru
1
1995
Free boson realization of \(U_ q(\widehat{sl_ N} )\). Zbl 0797.17009
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
16
1994
Determinant formulae of quasi-finite representation of \(W_{1+\infty}\) algebra at lower levels. Zbl 0894.17020
Awata, H.; Fukuma, M.; Matsuo, Y.; Odake, S.
7
1994
Eigensystem and full character formula of the \(\mathcal W_{1+\infty}\) algebra with \(c=1\). Zbl 0806.17026
Awata, Hidetoshi; Fukuma, Masafumi; Odake, Satoru; Quano, Yas-Hiro
5
1994
Free boson representation of \(U_ q(\widehat {sl}_ 3)\). Zbl 0787.17009
Awata, Hidetoshi; Odake, Satoru; Shiraishi, Jun’ichi
5
1994
Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold. Zbl 0787.17008
Awata, Hidetoshi; Noumi, Masatoshi; Odake, Satoru
3
1994
Fusion rules for the fractional level \(\widehat{\text{sl}}(2)\) algebra. Zbl 1021.81529
Awata, Hidetoshi; Yamada, Yasuhiko
20
1992
Screening currents Ward identity and integral formulas for the WZNW correlation functions. Zbl 0832.17030
Awata, Hidetoshi
1
1992
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Cited by 410 Authors

26 Morozov, Alexei Yurievich
18 Mironov, Andrei D.
15 Awata, Hidetoshi
14 Shiraishi, Jun’ichi
13 Zenkevich, Yegor
10 Feĭgin, Boris L’vovich
9 Bourgine, Jean-Emile
9 Odake, Satoru
8 Kanno, Hiroaki
8 Kojima, Takeo
8 Ridout, David
8 Zabzine, Maxim
7 Kimura, Taro
7 Matsuo, Yutaka
7 Ohkubo, Yusuke
6 Ashok, Sujay K.
6 Bershteĭn, Mikhaĭl Aleksandrovich
6 Gukov, Sergei
6 Jing, Naihuan
6 Nieri, Fabrizio
6 Sułkowski, Piotr
6 Wu, Ke
6 Zhu, Rui-Dong
5 Billó, Marco
5 Bonelli, Giulio
5 Frappat, Luc
5 Frau, Marialuisa
5 Hayashi, Hirotaka
5 Itoyama, Hiroshi
5 Kim, Sungsoo
5 Lerda, Alberto
5 Manabe, Masahide
5 Nagoya, Hajime
5 Pomoni, Elli
5 Procházka, Tomáš
5 Tanzini, Alessandro
5 Wood, Simon James
5 Yagi, Futoshi
5 Yanagida, Shintarou
5 Zhao, Weizhong
4 Avan, Jean
4 Boyallian, Carina
4 Ding, Xiangmao
4 Foda, Omar
4 Hou, Boyu
4 John, Renjan Rajan
4 Lodin, Rebecca
4 Mathieu, Pierre
4 Matushko, M. G.
4 Mitev, Vladimir
4 Oota, Takeshi
4 Pestun, Vasily
4 Rapčák, Miroslav
4 Wang, Weiqiang
3 Cai, Tommy Wuxing
3 Chen, Heng-Yu
3 Creutzig, Thomas
3 Dell’aquila, Eleonora
3 Fioravanti, Davide
3 Frenkel, Edward V.
3 Gaberdiel, Matthias R.
3 Gerasimov, Anton A.
3 Giribet, Gastón E.
3 Gorskiĭ, Aleksandr Sergeevich
3 Harada, Koichi
3 Jimbo, Michio
3 Kac, Victor G.
3 Kim, Hee-Cheol
3 Konno, Hitoshi
3 Koroteev, Peter
3 Kozçaz, Can
3 Lapointe, Luc
3 Lebedev, Dimitri R.
3 Lee, Kimyeong M.
3 Liberati, Jose I.
3 Linshaw, Andrew Ross
3 Lukyanov, Sergei L.
3 Maruyoshi, Kazunobu
3 Morozov, Andreĭ Alekseevich
3 Mukhin, Evgeny
3 Nawata, Satoshi
3 Nazarov, Maxim Leonidovich
3 Nedelin, Anton
3 Oblezin, Sergey
3 Pasquetti, Sara
3 Ragoucy, Eric
3 Sciarappa, Antonio
3 Sklyanin, Evgeny K.
3 Sugimoto, Yuji
3 Taki, Masato
3 Vafa, Cumrun
3 Yan, Zhaowen
3 Yoshioka, Reiji
3 Zhang, Yaozhong
3 Zhao, Liu
2 Belavin, Vladimir A.
2 Bertoldi, Gaetano
2 Blondeau-Fournier, Olivier
2 Brazhnikov, Vadim A.
2 Cassia, Luca
...and 310 more Authors
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Cited in 53 Serials

111 Journal of High Energy Physics
41 Communications in Mathematical Physics
38 Nuclear Physics. B
36 Journal of Mathematical Physics
27 Letters in Mathematical Physics
13 Theoretical and Mathematical Physics
9 International Journal of Modern Physics A
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Physics Letters. B
5 Advances in Mathematics
5 Journal of Physics A: Mathematical and Theoretical
3 Journal of Geometry and Physics
3 Journal of Algebra
3 Journal of Algebraic Combinatorics
3 Annales Henri Poincaré
2 Modern Physics Letters A
2 Journal of Combinatorial Theory. Series A
2 Journal of Pure and Applied Algebra
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the Moscow Mathematical Society
2 Selecta Mathematica. New Series
2 Transformation Groups
2 Algebras and Representation Theory
1 International Journal of Modern Physics B
1 Communications in Algebra
1 Physics Letters. A
1 Physics Reports
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 The Annals of Probability
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Nagoya Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Algebra Colloquium
1 Séminaire Lotharingien de Combinatoire
1 Communications in Contemporary Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Institute of Mathematics of Jussieu
1 Structural and Multidisciplinary Optimization
1 Frontiers of Mathematics in China
1 Advances in High Energy Physics
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Forum of Mathematics, Sigma
1 Journal de l’École Polytechnique – Mathématiques
all top 5

Cited in 36 Fields

303 Quantum theory (81-XX)
152 Nonassociative rings and algebras (17-XX)
45 Relativity and gravitational theory (83-XX)
41 Algebraic geometry (14-XX)
40 Special functions (33-XX)
25 Combinatorics (05-XX)
23 Manifolds and cell complexes (57-XX)
21 Global analysis, analysis on manifolds (58-XX)
20 Associative rings and algebras (16-XX)
17 Statistical mechanics, structure of matter (82-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Ordinary differential equations (34-XX)
11 Partial differential equations (35-XX)
10 Topological groups, Lie groups (22-XX)
9 Group theory and generalizations (20-XX)
9 Mechanics of particles and systems (70-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Difference and functional equations (39-XX)
6 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
4 Number theory (11-XX)
4 Category theory; homological algebra (18-XX)
4 Probability theory and stochastic processes (60-XX)
3 Functional analysis (46-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
2 Fluid mechanics (76-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year