H. Awata

发表

Heisenberg realization for Uq(sln) on the flag manifold

H. Awata, M. Noumi, S. Odake, 1993, hep-th/9306010.

sl2) quantum Knizhnik-Zamolodchikov equation on P 1

H. Awata, S. Odake, 1993 .

Collective Field Description of Spin Calogero-Sutherland Models

T. Yamamoto, Y. Matsuo, H. Awata, 1995, hep-th/9512065.

Comments on the Problem of a Covariant Formulation of Matrix Theory

D. Minic, H. Awata, 1997, hep-th/9711034.

On the quantization of Nambu brackets

D. Minic, Miao Li, H. Awata, 1999, hep-th/9906248.

Comments on the Problem of a Covariant Formulation of Matrix Theory

D. Minic, H. Awata, 1997, hep-th/9711034.

Excited states of the Calogero-Sutherland model and singular vectors of the WN algebra

Y. Matsuo, H. Awata, S. Odake, 1995, hep-th/9503043.

Collective field theory, Calogero-Sutherland model and generalized matrix models

Y. Matsuo, H. Awata, S. Odake, 1994, hep-th/9411053.

Many-body dynamics of D0-branes

D. Minic, H. Awata, S. Chaudhuri, 1997, hep-th/9706083.

Toric Calabi-Yau threefolds as quantum integrable systems. R-matrix and RTT relations

A. Mironov, A. Morozov, Y. Zenkevich, 2016, 1608.05351.

Collective Field Description of Spin Calogero-Sutherland Models

T. Yamamoto, Y. Matsuo, H. Awata, 1995, hep-th/9512065.

On the quantization of Nambu brackets

D. Minic, Miao Li, H. Awata, 1999, hep-th/9906248.

Integral representations of the Macdonald symmetric polynomials

H. Awata, S. Odake, J. Shiraishi, 1995, q-alg/9506006.

Explicit examples of DIM constraints for network matrix models

A. Mironov, A. Morozov, Y. Zenkevich, 2016, 1604.08366.

A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

H. Awata, S. Odake, J. Shiraishi, 1995, q-alg/9507034.

Exchange Relations for the q-Vertex Operators of Uq(\widehatsl2)

H. Awata, 1992, hep-th/9211087.

Exchange relations for the q-vertex operators of Uq(sl2)

H. Awata, 1993 .

Vertex Operators of the q-Virasoro Algebra; Defining Relations, Adjoint Actions and Four Point Functions

H. Awata, S. Odake, Y. Morita, 1996, q-alg/9604023.

Virasoro type symmetries in solvable models

H. Awata, S. Odake, J. Shiraishi, 1996, hep-th/9612233.

Quantum 401-1401-1401-1algebras and Macdonald polynomials

H. Awata, S. Odake, J. Shiraishi, 1995, q-alg/9508011.

Determinant formulae of quasi-finite representation of W1+∞ algebra at lower levels

Y. Matsuo, H. Awata, S. Odake, 1994 .

The partition function of ABJ theory

S. Hirano, H. Awata, M. Shigemori, 2012, 1212.2966.

Explicit examples of DIM constraints for network matrix models

A. Mironov, A. Morozov, Y. Zenkevich, 2016, Journal of High Energy Physics.

(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

A. Mironov, A. Morozov, Y. Zenkevich, 2018, Journal of High Energy Physics.

(q, t)-KZ equations for quantum toroidal algebra and Nekrasov partition functions on ALE spaces

A. Mironov, A. Morozov, Y. Zenkevich, 2017, 1712.08016.

Virasoro-type Symmetries in Solvable Models(Discretizations of Integrable Systems : Theory and Applications)

H. Awata, S. Odake, J. Shiraishi, 1997 .

Quantum Deformation of the WN Algebra y

H. Awata, S. Odake, H. Kubo, 1996 .

Quantum Deformation of the W_N Algebra

H. Awata, S. Odake, J. Shiraishi, 1996, q-alg/9612001.

Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function

A. Mironov, A. Morozov, H. Awata, 2020, Journal of High Energy Physics.

The MacMahon R-matrix

A. Mironov, Y. Zenkevich, H. Awata, 2019, Journal of High Energy Physics.

Nontorus link from topological vertex

A. Mironov, H. Awata, H. Kanno, 2018, Physical Review D.

Toric Calabi-Yau threefolds as quantum integrable systems. ℛ$$ \mathrm{\mathcal{R}} $$-matrix and ℛTT$$ \mathrm{\mathcal{R}}\mathcal{T}\mathcal{T} $$ relations

A. Mironov, Y. Zenkevich, H. Awata, 2016 .

Changing the preferred direction of the refined topological vertex

H. Awata, H. Kanno, 2009, 0903.5383.

Quantum algebraic approach to refined topological vertex

B. Feigin, H. Awata, J. Shiraishi, 2012, Journal of High Energy Physics.

Localization with a Surface Operator, Irregular Conformal Blocks and Open Topological String

H. Awata, Yasuhiko Yamada, H. Kanno, 2010, 1008.0574.

Five-Dimensional AGT Relation and the Deformed β-Ensemble

H. Awata, Yasuhiko Yamada, Y. Yamada, 2010, 1004.5122.

Five-dimensional AGT conjecture and the deformed Virasoro algebra

H. Awata, Yasuhiko Yamada, Y. Yamada, 2009, 0910.4431.

Macdonald operators and homological invariants of the colored Hopf link

H. Awata, H. Kanno, 2009, 0910.0083.

Quiver Matrix Model and Topological Partition Function in Six Dimensions

H. Awata, H. Kanno, 2009, 0905.0184.

REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS

H. Awata, H. Kanno, 2008, 0805.0191.

Instanton counting, Macdonald function and the moduli space of D-branes

H. Awata, H. Kanno, 2005, hep-th/0502061.

Can tangle calculus be applicable to hyperpolynomials?

A. Mironov, A. Morozov, H. Awata, 2019, Nuclear Physics B.

On a complete solution of the quantum Dell system

A. Mironov, H. Awata, H. Kanno, 2019, Journal of High Energy Physics.

Fusion Rules for the Fractional Level widehat {sl(2)} Algebra

H. Awata, Yasuhiko Yamada, 1992 .

Hidden Algebraic Structure of the Calogero—Sutherland Model, Integral Formula for Jack Polynomial and Their Relativistic Analog

H. Awata, 2000 .

On a complete solution of the quantum Dell system

A. Mironov, A. Morozov, H. Awata, 2020, Journal of High Energy Physics.

Tachyon Condensation and Graviton Production in Matrix Theory

S. Hirano, H. Awata, Y. Hyakutake, 1999, hep-th/9902158.

Representation Theory of The $W_{1+\infty}$ Algebra

Y. Matsuo, H. Awata, S. Odake, 1994 .

Subalgebras of W 1+ infinity and their quasifinite representations

Y. Matsuo, H. Awata, S. Odake, 1994 .

Character and determinant formulae of quasifinite representation of theW1+∞ algebra

Y. Matsuo, H. Awata, S. Odake, 1995 .

Fusion Rules for the q-Vertex Operators of U q ( ŝl ( 2 ) )

H. Awata, Yasuhiko Yamada, 2008 .

Shiraishi functor and non-Kerov deformation of Macdonald polynomials

A. Mironov, H. Awata, H. Kanno, 2020, The European Physical Journal C.

Generalized Knizhnik-Zamolodchikov equation for Ding-Iohara-Miki algebra

A. Mironov, A. Morozov, Y. Zenkevich, 2017 .

Anomaly in RTT relation for DIM algebra and network matrix models

A. Mironov, A. Morozov, Y. Zenkevich, 2016, 1611.07304.

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

H. Awata, Y. Ohkubo, H. Fujino, 2015, 1512.08016.

Integral formulas for the WZNW correlation functions

H. Awata, A. Tsuchiya, Yasuhiko Yamada, 1991 .

Screening Currents Ward Identity and Integral Formulas for the WZNW Correlation Functions

H. Awata, 1992, hep-th/9202032.

Quantum algebraic approach to refined topological vertex

B. Feigin, H. Awata, J. Shiraishi, 2011, 1112.6074.

Notes on Ding-Iohara algebra and AGT conjecture (可積分系数理の多様性--RIMS研究集会報告集)

B. Feigin, H. Awata, J. Shiraishi, 2011, 1106.4088.

Quasifinite highest weight modules over the superW1+∞algebra

Y. Matsuo, H. Awata, S. Odake, 1994, hep-th/9404041.

AdS_7/CFT_6 Correspondence and Matrix Models of M5-Branes

S. Hirano, H. Awata, 1998, hep-th/9812218.

Tachyon Condensation and Graviton Production in

S. Hirano, H. Awata, Y. Hyakutake, 1999 .

A Note on Calogero-Sutherland Model,Wn Singular Vectors and Generalized Matrix Models (場の理論の共通課題)

Y. Matsuo, H. Awata, S. Odake, 1995, hep-th/9503028.

Matrix Models of M5-Branes

S. Hirano, H. Awata, 1999 .

$\mathrm{AdS}_7$/$\mathrm{CFT}_6$ correspondence and matrix models of M5-branes

S. Hirano, H. Awata, 1999 .