Paper
Quadratic relations of the deformed W-algebra pdf | Preprint 12 pages to appear in Springer Proceedings (2024) |
Quadratic relations of the deformed W-algebra for the twisted affine algebra A_{2N}^{(2)} pdf | SIGMA 18, 072, 36 pages (2022) |
Quadratic relations of the deformed W-superalgebra Wqt(A(M,N)) pdf | arXiv:2101.01110[math.QA] Journal of Physics A: Mathematical and Theoretical (2021) doi:10.1088/1751-8121/ac129f |
Quadratic relations of the deformed W-superalgebra Wqt(sl(2|1)) pdf | arXiv:1912.03096[math.QA] Journal of Mathematical Physics 62, 051702 (2021) doi:10.1063/1.5047255 |
Commutation relations of vertex operators for Uq(sl^(M|N)) pdf | Journal of Mathematical Physics 59, 101701 (37pp) (2018) doi.org/10.1063/1.5047255 |
Wakimoto realization of the quantum affine superalgebra Uq(sl^(M|N)) pdf | Springer Proceedings : Mathematics and Statistics 263, 149-163 (2018) |
A bosonization of Uq(sl^(M|N)) pdf | Communication in Mathematical Physics 355, 603-644 (2017) |
Boundary state of Uq(gl^(N|N)) analogue of half-infinite t-J model pdf | arXiv:1509.01008 J.Stat.Mech. (2016)023108(38 pages) |
Form factors of the half-infinite XXZ spin chain with a triangular boundary pdf (with Baseilhac) | J.Stat.Mech., P09004(34 pages), (2014) doi:10.1088./1742-5468/2014/09/P09004, arXiv:1404.0491 |
Vertex operator approach to semi-infinite spin chain : recent progress pdf | Springer Proceedings : Mathematics and Statistics 111, 265-277, (2014), DOI 10.1007/978-4-431-54270-4. |
Correlation functions of the half-infinite XXZ spin chain with a triangular boundary pdf (with Baseilhac) | Nucl.Phys.B880, 378-413 ,(2014) , http://dx.doi.org/10.1016/j.nuclphysb.2014.01.011 |
Bosonization of Superalgebra $U_q(sl^(N|1))$ for an Arbitrary Level pdf | Proceedings of 7-th Mathematical Physics Meetings, 229-244, (2013) [ISBN:978-86-82441-38-0]. |
Diagonalization of Transfer Matrix of Supersymmetry $U_q(\hat{sl}(M+1|N+1))$ Chain with a Boundary pdf | [arXiv.1211.2912] J.Math.Phys. 54, 043507 (40pages) (2013) dx.doi.org/10.1063/1.4799933 |
Bosonization and Vertex Operator of Supersymmetery $U_q(\hat{sl}(N|1))$ for Level k pdf | [arXiv.1211.2909] J.Phys.A: Conf.Ser.410, 02062 (2013) doi:10.1088/1742-6596/410/1/012062 |
Screenings and Vertex Operators of Quantum Superalgebra $U_q(\hat{sl}(N|1))$ pdf | [arXiv.1201.4223] J.Math.Phys.53, 083503(30pages) (2012); doi:10.1063/1.4742125 |
The Wakimoto Realization of the Superalgebras $U_q(\hat{sl}(N|1))$ and $U_{q,p}(\hat{sl}(N|1))$ pdf | [arXiv.1201.4222] Springer Proceedings : Mathematics and Statistics, Lie Theory and its Application in Physics, 263-276 (2013) |
Free Field Realization of Quantum Superalgebra $U_q(\hat{sl}(N|1))$ pdf | [arXiv.1105.5772] J.Math.Phys.53, 013515(15pages) (2012); doi:10.1063/1.3678198 |
Elliptic Deformed Superalgebra $U_{q,p}(\hat{sl}(M|N))$ pdf | [aXiv.1103.5527] J.Phys.A:Math.Theor.44, 485205 (23pages), (2011). |
Free field approach to diagonalization of boundary transfer matrix : recent advances pdf | [arXiv.1103.5526] J.Phys.A : Conf.Ser. 284, 012041 (2011); doi:10.1088/1742-6596/284/1/012041 (10 pages) |
Infinitely many commuting operators for the elliptic quantum group Uqp pdf | [arXiv.1101.4084] Proceedings for the 6th Mathematical Physics Meeting, held in Belgrade, Serbia 2010, 235-250, (2012) [ISBN: 978-86-82441-30-4] |
A remark on ground state of boundary Izergin-Korepin model pdf | [arXiv.1101.4078] Int.J.Mod.Phys.A26 no.12, 1973-1989 (2011) |
Diagonalization of infinite transfer matrix for boundary Uqp(A_{N-1}^(1)) face model pdf | [arXiv.1007.3795] J.Math.Phys.52,013501 (2011);doi:10.1063/ 1.3521604 (26 pages) . |
Free field realization of commutative family of elliptic Feigin-Odesskii algebra pdf | [arXiv.1007.3400] RIMS Kokyuroku 1700 p.11-32 (2010) |
Diagonalization of boundary transfer matrix for Uqp(sl^(3,C)) ABF model dvi | [nlin.SI.0910.3764], AIP Conference Prodeedings 1243, p.241-253 (2010) |
Wakimoto realization of the elliptic quantum group Uqp(slN^) pdf | [nlin.SI.0902.1022] Int.J.Mod.Phys.A30, p.5561-5578 (2009) |
Wakimoto realization of Drinfeld current for the elliptic quantum algebra Uqp(sl3^) pdf | [nlin.SI.0812.0890] Physics of Atomic Nuclei 78,367-374 (2010). |
A remark on the integrals of motion associated with level k realization of the elliptic algebra Uqp(sl_2^), pdf (with J.Shiraishi) | [nlin.SI.0810.2881] J.Geometry and Symmetry in Physics X,p.183-196 (2009). |
Baxter's Q-operator for the W-algebra W_N, pdf | [nlin.SI.0803.3505] J.Phys.A:Math.Theor. 41 No 35 (5 September 2008) 355206 (16pp) |
The Integrals of motion for the elliptic deformation of the Virasoro and W_N-algebra dvi (with J.Shiraishi) | [nlin.SI.0902.1019] J.Nonl.Analysis 03/2009; 71 (12-71), doi:10.1016/j.n.a.2009. (2009). |
The Integrals of Motion for the Deformed W-Algebra Wqt(gl(N)^) II: Proof of the commutation relations pdf (with J.Shiraishi) | Communication in Mathematical Physics 283, 795-851, (2008) |
The Integrals of Motion for the Deformed W-Algebra Wqt(sl(N)^), ps (with B.Feigin, J.Shiraishi, H.Watanabe) | Proceeding for Representation Theory 2006 102-114,(2006), [ISBN4-9902328-2-8]. |
The Integrals of Motion for the Deformed Virasoro Algebra, pdf(2007) (with B.Feigin, J.Shiraishi, H.Watanabe) |
Preprint, 54 pages(2006), |
The Vertex-Face Correspondence and Correlation Functions of Elliptic Vertex Models I : General Formalism , pdf , (with H.Konno,R.Weston) |
Nucl.Phys.B720 348-398, (2005). |
The Drinfeld Realization of the Elliptic Quantum Group Bqr(A_2^{(2)}), pdf (with H.Konno) |
J.Math.Phys.,45, 3146-3179, (2004). |
The Elliptic Algebra Uqp(sl_N^) and the deformation of the W_N algebra, pdf (with H.Konno) |
J.Phys.A37,no.2,371-383, (2004). |
The Elliptic Algebra Uqp(sl_N^) and the Drinfeld Realization of the Elliptic Quantum Group Bqr(sl_N^), pdf (with H.Konno) | Commun.Math.Phys.,239,405-447,(2003). |
The Quantum Knizhnik-Zamolodchikov Equation associated with Uq(A_2^{(2)}) for |q|=1 | Int.J.Mod.Phys.A18 no.2, 225-248,(2003). |
The Affine A_{N-1}^{(1)} Toda Fields with Boundary Reflection | Int.J.Mod.Phys.A17 no.4,487-513,(2002). |
The SU(N) Invariant Massive Thirring Model with Boundary Reflection | Int.J.Mod.Phys.A16 no.15,2665-2689,(2001). |
The 19 Vertex Model at Critical Regime |q|=1 | Int.J.Mod.Phys.A16 no.9,1559-1578,(2001). |
The Massless XXZ Chain with a Boundary | Int.J.Mod.Phys.A16 no.3,409-424,(2001). |
The Critical A_{N-1}^{(1)} chain, (with S.Yamasita) | J.Phys.A34,no.6, 1181-1201,(2001). |
The Free Field Approach to the higher rank XXZ chain with a Boundary |
J.Nonl.Analysis,47, 5187-5198,(2001). |
The Uq(sl_N^) analogue of the XXZ chain with a Boundary, (with H.Furutsu) | J.Math.Phys.41,no.7, 4413-4436,(2000). |
The Difference Equations for the higher rank XXZ chain with a Boundary, (with Y.H. Quano) | Int.J.Mod.Phys.A15,no.23, 3699-3716, (2000). |
Type-II Vertex Operators for A_{N-1}^{(1)} Face Model, (with H.Furutsu, Y.H.Quano) | Int.J.Mod.Phys.A15, no.10, 1533-1556, (2000). |
Form Factor of the SU(2) invariant massive Thirring Model with Boundary Reflection, (with H.Furutsu, Y.H.Quano) | Int.J.Mod.Phys.A15,no.19, 3037-3052,(2000). |
Spontaneous Polarization of the Kondo problem associated with the higher spin six vertex model, (with H. Fukushima) | J.Phys.A32,no.34, 6149-6168, (1999). |
Dynamical Correlation Functions for an impenetrable Bose Gas with Neumann or Dirichlet Boundary Condition | J.Nonl.Math.Phys.6,no.1, 99-119, (1999). |
Completely Integrable Equation for quantum correlation function of quantum NS equation (with V.Korepin, N.Slavnov) | Commun.Math.Phys.189, 713-743,(1997). |
Determinant Representation for dynamical correlation function of the quantum NS equation (with V.Korepin, N.Slavnov ) | Commun.Math.Phys. 188, 657-689,(1997). |
The Maxwell Bloch equation and correlation function for an impenetrable Bose Gas (with V.Korepin) | J.Phys.A30,no.14, 5105-5121, (1997). |
The Ground-State Correlation Function for an impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions | J.Stat.Phys.88,no.3-4, 713-743, (1997). |
XXZ Chain with a Boundary pdf (with M.Jimbo,H.Konno,R.Kedem,T,.Miwa) | Nucl.Phys.B441, 437-470,(1995). |
Annihilation Poles of a Smirnov-type integral formula for solution to the quantum Knizhnik-Zamolodchikov equation, (with K.Miki,Y.H.Quano) | J.Phys.A28,no.12, 3479-3491, (1995). |
Quantum Knizhnik-Zamolodchikov Equation for Uq(sl_N^) and integral formula (with Y.H.Quano) | J.Phys.A27,no.20, 6807-6826, (1994). |
Smirnov's integrals and the quantum Knizhnik-Zamodchikov equation of Level 0, (with M.Jimbo,T.Miwa,Y.H.Quano) | J.Phys.A27,no.9, 3267-3283, (1994). |