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Naruhiko Aizawa

0000-0001-5681-444X
math.MPmath-phhep-thmath.RTmath.QAnlin.SIalg-geommath.AGmath.GT

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published · living versions
W_yky6br25·v1 · currentpublished
A Twisted Affine Interpolation of the Z22\mathbb{Z}_2^2-graded Integrable Super-Liouville and super-Sinh-Gordon Equations
with Ren Ito, Luiza Miranda, Francesco Toppan
1 version

Preprints & journals

52 papers in the corpus · 1993–2026
An integrable Z22\mathbb{Z}_2^2-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure2609.19543v1 · N. Aizawa, Ichi Fujii, Ren Ito et al.2026 · 0 citationsarXiv
Graded Casimir Elements and Central Extensions of Color Lie Algebras2604.08900v2 · Naruhiko Aizawa, Ichi Fujii, Jambulingam Segar et al.2026 · 0 citationsSIGMA 22 (2026), 070, 27 pages
Integrable Z22\mathbb{Z}_2^2-graded super-Liouville Equation and Induced Z22\mathbb{Z}_2^2-graded super-Virasoro Algebra2512.17449v2 · Naruhiko Aizawa, Ichi Fujii, Ren Ito et al.2025 · 0 citationsJ.Phys. A:Math. Theor. 59 (2026) 235202
An integrable hierarchy associated with loop extension of Z22\mathbb{Z}_2^2-graded osp(1∣2)\mathfrak{osp}(1|2)2512.14108v3 · N. Aizawa, I. Fujii, R. Ito2025 · 0 citationsJ. Phys. A:Math. Theor. 59 (2026) 215205
Universal weight systems from a minimal Z22\mathbb{Z}_2^2-graded Lie algebra2410.05845v2 · N. Aizawa, Daichi Kimura2024 · 1 citationJ. Knot Theory Ramif. 34 (2025) 2550045
Affine extensions of Z22\mathbb{Z}_2^2-graded osp(1∣2)osp(1|2) and Virasoro algebra2409.07938v2 · N. Aizawa, J. Segar2024 · 3 citationsInternational Journal of Geometric Methods in Modern Physics, 23 (2026) 2540052
Integrable Z22\mathbb{Z}_2^2-graded Extensions of the Liouville and Sinh-Gordon Theories2406.13503v2 · Naruhiko Aizawa, Ren Ito, Zhanna Kuznetsova et al.2024 · 8 citationsJ. Phys. A: Math. Theor. 58 (2025) 055201
N=2\mathcal{N}=2 Double graded supersymmetric quantum mechanics via dimensional reduction2401.02742v1 · N. Aizawa, Ren Ito, Toshiya Tanaka2024 · 5 citationsAIMS Mathematics, 9 (2024) 10494-10510
Invariant Differential Operators for Non-Compact Lie Groups: the Sp(n,1)Sp(n,1) Case2312.17000v2 · N. Aizawa, V. K. Dobrev2023 · 0 citationsI. J. Mod. Phys. A, 39 (2024) 2450022
Z22\mathbb{Z}_2^2-graded supersymmetry via superfield on minimal Z22\mathbb{Z}_2^2-superspace2308.16860v1 · N. Aizawa, Ren Ito, Toshiya Tanaka2023 · 7 citationsJ. Phys. A: Math. Theor. 57 435201 (2024)
Integration on minimal Z22\mathbb{Z}_2^2-superspace and emergence of space2305.07836v2 · N. Aizawa, Ren Ito2023 · 10 citationsJ. Phys. A: Math. Theor. 56 (2023) 485201
Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models2303.17347v3 · Naruhiko Aizawa, Haru-Tada Sato2023 · 6 citationsNucl, Phys. B995 (2023) 116336
New aspects of the Z2_{\textrm 2} ×\times Z2_{\textrm 2}-graded 1D superspace: induced strings and 2D relativistic models2301.06089v1 · N. Aizawa, R. Ito, Z. Kuznetsova et al.2023 · 13 citationsNucl. Phys. B 991 (2023) 116202
Irreducible representations of Z22\mathbb{Z}_2^2-graded N=2{\cal N} =2 supersymmetry algebra and Z22\mathbb{Z}_2^2-graded supermechanics2205.07263v2 · N. Aizawa, S. Doi2022 · 14 citationsJ. Math. Phys. 63 (2022) 091704
Comments of Z22\mathbb{Z}_2^2-supersymmetry in superfield formalism2109.14227v2 · S. Doi, N. Aizawa2021 · 17 citationsNucl. Phys. B974 (2022) 115641
Invariant differential operators for the Jacobi algebra $ {\cal G}_2$2108.12813v2 · N. Aizawa, V. K. Dobrev2021 · 1 citationMod. Phys. Lett. A 37, 2250067 (2022)
Classification of the Reducible Verma Modules over the Jacobi Algebra $ {\cal G}_2$2105.07173v2 · N. Aizawa, V. K. Dobrev, S. Doi2021 · 1 citationJ. Phys. A: Math. Theor. 54 475202 (2021)
Z23\mathbb{Z}_2^3-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics2103.10638v2 · Shunya Doi, Naruhiko Aizawa2021 · 8 citationsSIGMA 17 (2021), 071, 14 pages
Z2×Z2{\mathbb Z}_2\times {\mathbb Z}_2-graded mechanics: the quantization2005.10759v2 · N. Aizawa, Z. Kuznetsova, F. Toppan2020 · 35 citationsNucl. Phys. B 967 (2021) 115426
Z2×Z2{\mathbb Z}_2\times {\mathbb Z}_2-graded mechanics: the classical theory2003.06470v3 · N. Aizawa, Z. Kuznetsova, F. Toppan2020 · 38 citationsEur. Phys. J. C 80, 668 (2020)
Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type1812.10662v2 · N. Aizawa, K. Amakawa, S. Doi2018 · 0 citationsarXiv
$ \mathbb{Z}_2 \times \mathbb{Z}_2 $ generalizations of N=1{\cal N} = 1 superconformal Galilei algebras and their representations1808.09112v1 · N. Aizawa, P. S. Isaac, J. Segar2018 · 12 citationsJ. Math. Phys. 60 (2019) 023507
Verma Modules over a Z2⊗Z2{\mathbb Z}_2 \otimes {\mathbb Z}_2 Graded Superalgebra and Invariant Differential Equations1801.02275v2 · N. Aizawa2018 · 0 citationsScientiae Mathematicae Japonicae, 31, (2018) 2018-4
Generalization of Superalgebras to Color Superalgebras and Their Representations1712.03008v2 · N. Aizawa2017 · 15 citationsAdvances in Applied Clifford Algebras, 28 (2018) 28
${\mathbb Z}_2 \times {\mathbb Z}_2 $ generalizations of N=2{\cal N} = 2 super Schrödinger algebras and their representations1705.10414v2 · N. Aizawa, J. Segar2017 · 19 citationsJ. Math. Phys. 58 (2017) 113501
Generalized supersymmetry and Lévy-Leblond equation1609.08760v1 · N. Aizawa, Z. Kuznetsova, H. Tanaka et al.2016 · 3 citationsin "Physical and Mathematical Aspects of Symmetries,'' J.-P. Gazeau, S. Faci, T. Micklitz, R. Scherer, F. Toppan (editors), Springer (2017) 79-84
Invariant PDEs with Two-dimensional Exotic Centrally Extended Conformal Galilei Symmetry1512.02290v1 · N. Aizawa, Z. Kuznetsova, F. Toppan2015 · 10 citationsJ. Math. Phys. 57, 041701 (2016)
Invariant PDEs of Conformal Galilei Algebra as deformations: cryptohermiticity and contractions1506.08488v2 · N. Aizawa, Z. Kuznetsova, F. Toppan2015 · 5 citationsProgr. Theor. Exp. Phys. 2016, 083A01
Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs1506.04377v2 · Naruhiko Aizawa, Tadanori Kato2015 · 1 citationSymmetry 7 (2015) 1989-2008
Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras1408.4842v2 · Naruhiko Aizawa, Radhakrishnan Chandrashekar, Jambulingam Segar2014 · 6 citationsSIGMA 11 (2015), 002, 19 pages
Intertwining Operator Realization of anti de Sitter Holography1406.2129v3 · N. Aizawa, V.K. Dobrev2014 · 21 citationsRept. Math. Phys. {\bf 75} (2015) 179-197
Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations1308.0121v2 · N. Aizawa, Y. Kimura, J. Segar2013 · 27 citationsJ. Phys. A: Math. Theor. 46 (2013) 405204
Chiral and Real N=2 supersymmetric l-conformal Galilei algebras1307.5259v1 · N. Aizawa, Z. Kuznetsova, F. Toppan2013 · 21 citationsJ. Math. Phys. 54 (2013) 093506
Some representations of planar Galilean conformal algebra1212.6288v2 · N. Aizawa2012 · 2 citationsarXiv
Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension1204.2871v1 · Naruhiko Aizawa, Phillip S. Isaac, Yuta Kimura2012 · 30 citationsInt. J. Math. 23 (2012), 1250118
Galilean conformal algebras in two spatial dimension1112.0634v2 · N. Aizawa, Y. Kimura2011 · 12 citationsarXiv
Lowest weight representations of super Schrodinger algebras in low dimensional spacetime1011.5025v2 · N. Aizawa2010 · 6 citationsJ.Phys.Conf.Ser.284:012007,2011
On irreducible representations of the exotic conformal Galilei algebra1010.4075v2 · Naruhiko Aizawa, Phillip S Isaac2010 · 23 citationsJ. Phys. A: Math. Theor. 44 (2011) 035401
Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space1009.0085v1 · N. Aizawa2010 · 9 citationsJ.Math.Phys.52:013509,2011
Intertwining Operator Realization of Non-Relativistic Holography0906.0257v3 · N. Aizawa, V.K. Dobrev2009 · 46 citationsNucl.Phys.B828:581-593,2010
Fuzzy Torus via q-Parafermion0705.0563v1 · N. Aizawa, R. Chakrabarti2007 · 2 citationsJ.Phys.A40:10021-10030,2007
Basic Hypergeometric Functions and Covariant Spaces for Even Dimensional Representations of U_q[osp(1/2)]math/0701242v2 · N. Aizawa, R. Chakrabarti, S. S. Naina Mohammed et al.2007 · 7 citationsJ. Phys. A: Math. Theor. 40 (2007) 14985-15000
Super-Jordanian Quantum Superalgebra Uh(osp(2/1)){\cal U}_{h}(osp(2/1))math/0301022v1 · N. Aizawa, R. Chakrabarti, J. Segar2003 · 9 citationsMod. Phys. Lett. A18 (2003) 885-903
Twisted Conformal Algebra so(4,2)hep-th/0207233v1 · N. Aizawa, F.J. Herranz, J. Negro et al.2002 · 5 citationsJ.Phys.A35:8179-8196,2002
Twist of Lie algebras by 6 dimensional subalgebramath/0008055v2 · N. Aizawa2000 · 3 citationsRep. Math. Phys. 48 (2001) 11-18
Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomialsmath/0003110v1 · N. Aizawa2000 · 6 citationsJ. Phys. A33 (2000) 3735-3752
Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)math/9807051v1 · N. Aizawa1998 · 6 citationsCzech. J. Phys. Vol.48 (1998) 1273-1278
Notes on Curtright-Zachos Deformations of osp(1,2) and Super Virasoro Algebrashep-th/9706176v1 · Naruhiko Aizawa, Tatsuo Kobayashi, Haru-Tada Sato1997 · 6 citationsInt.J.Mod.Phys. A12 (1997) 5867-5883
Laughlin states on the sphere as representations of Uq(sl(2))hep-th/9412017v1 · N. Aizawa, S. Sachse, H-T. Sato1994 · 9 citationsMod.Phys.Lett. A10 (1995) 853-858
Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/qhep-th/9403140v1 · N. Aizawa1994 · 1 citationJ.Phys. A28 (1995) 4553-4564
Career total: 102 works. 52 are in this corpus.Showing the 50 most recent.

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