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Francesco Toppan

0000-0001-9014-9172
hep-thmath.MPmath-phquant-phnlin.SIcond-mat.stat-mechcond-mat.mes-hallgr-qcmath.RTsolv-int

On Valency

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 Naruhiko Aizawa, Ren Ito, Luiza Miranda
1 version

Preprints & journals

110 papers in the corpus · 1992–2026
Signature of paraparticles: a minimal Gedankenexperiment2604.22178v1 · Francesco Toppan2026 · 0 citationsarXiv
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
Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework2512.00809v3 · Zhanna Kuznetsova, Francesco Toppan2025 · 1 citationJ. Phys A: Math. Theor. 59, 205301 (2026)
Braided Majorana qubits as a minimal setting for Topological Quantum Computation?2504.02125v1 · Francesco Toppan2025 · 1 citationProceedings of Science Vol. 490: POS(CORFU2024)347
On the detectability of paraparticles beyond bosons and fermions2411.18313v2 · Francesco Toppan2024 · 4 citationsInt. J. of Geom. Methods in Modern Physics, 2540042 (2025), online version
On the Classification of the Lévy-Leblond Spinors2411.14139v1 · Luiza Miranda, Isaque P. de Freitas, Francesco Toppan2024 · 0 citationsJournal of Physics: Conf. Ser. 2912 (2024) 012034
On braid statistics versus parastatistics2411.14261v1 · Francesco Toppan2024 · 2 citationsJournal of Physics: Conf. Ser. 2912 (2024) 012011
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
Volichenko-type metasymmetry of braided Majorana qubits2406.00876v2 · Francesco Toppan2024 · 5 citationsJ. Phys. A: Math. Theor., Vol. 57, 435203 (2024)
Transmuted spectrum-generating algebras and detectable parastatistics of the Superconformal Quantum Mechanics2312.13191v1 · Francesco Toppan2023 · 3 citationsJ. Phys.: Conf. Ser. 2667 (2023) 012014
The parastatistics of braided Majorana fermions2312.06693v1 · Francesco Toppan2023 · 2 citationsSciPost Phys. Proc. 14, 046 (2023)
Inequivalent Z2nZ_2^n-graded brackets, nn-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics2309.00965v1 · M. M. Balbino, I. P. de Freitas, R. G. Rana et al.2023 · 13 citationsNucl. Phys. B 1009 (2024) 116729
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
First quantization of braided Majorana fermions2203.01776v3 · Francesco Toppan2022 · 8 citationsNucl. Phys. B 980 (2022) 115834
Beyond the 1010-fold way: 1313 associative Z2×Z2Z_2\times Z_2-graded superdivision algebras2112.00840v3 · Zhanna Kuznetsova, Francesco Toppan2021 · 6 citationsAdv. Appl. Clifford Algebras 33:24 (2023)
Inequivalent quantizations from gradings and Z2×Z2{\mathbb Z}_2\times {\mathbb Z}_2 parabosons2104.09692v1 · Francesco Toppan2021 · 33 citationsJ. Phys. A: Math. Theor. 54 (2021), 355202
Classification of minimal Z2×Z2{\mathbb Z}_2\times{\mathbb Z}_2-graded Lie (super)algebras and some applications2103.04385v2 · Zhanna Kuznetsova, Francesco Toppan2021 · 23 citationsJ. Math. Phys. 62, 063512 (2021)
Z2×Z2{\mathbb Z}_2\times {\mathbb Z}_2-graded parastatistics in multiparticle quantum Hamiltonians2008.11554v1 · Francesco Toppan2020 · 43 citationsJ. Phys. A: Math. Theor. 54, 115203 (2021)
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)
The octonionically-induced N=7{\cal N}=7 exceptional G(3)G(3) superconformal quantum mechanics1912.05596v1 · Francesco Toppan2019 · 0 citationsarXiv
A three-dimensional superconformal quantum mechanics with sl(2∣1)sl(2|1) dynamical symmetry1906.11705v2 · Ivan E. Cunha, Francesco Toppan2019 · 3 citationsPhys. Rev. D 100, 125002 (2019)
On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators1812.00873v2 · N. Aizawa, I. E. Cunha, Z. Kuznetsova et al.2018 · 6 citationsJ. Math. Phys. 60, 042102 (2019)
On Light-like Deformations of the Poincaré Algebra1803.07406v2 · Zhanna Kuznetsova, Francesco Toppan2018 · 2 citationsEur. Phys. J. C. (2019) 79:27
An Angular Dependent Supersymmetric Quantum Mechanics with a Z2{\bf Z}_2-invariant Potential1712.08825v2 · Laurent Baulieu, Francesco Toppan2017 · 0 citationsNucl. Phys. B 938 (2019) 232-244
The quasi-nonassociative exceptional F(4)F(4) deformed quantum oscillator1711.02923v2 · N. Aizawa, Z. Kuznetsova, F. Toppan2017 · 16 citationsJ. Math. Phys. 59, 022101 (2018)
Higher Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics1705.04004v2 · Francesco Toppan, Mauricio Valenzuela2017 · 4 citationsAdv. Math. Phys. (2018), Art. ID 6263150
From worldline to quantum superconformal mechanics with/without oscillatorial terms: D(2,1;α)D(2,1;\alpha) and sl(2∣1)sl(2|1) models1610.07205v3 · I. E. Cunha, N. L. Holanda, F. Toppan2016 · 19 citationsPhys. Rev. D 96, 065014 (2017)
Chains of topological oscillators with instantons and calculable topological observables in topological quantum mechanics1610.00943v2 · Laurent Baulieu, Francesco Toppan2016 · 2 citationsarXiv
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
Z2×Z2{\mathbb Z}_2\times {\mathbb Z}_2-graded Lie Symmetries of the Lévy-Leblond Equations1609.08224v3 · N. Aizawa, Z. Kuznetsova, H. Tanaka et al.2016 · 55 citationsProg. Theor. Exp. Phys. 2016, 123A01
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)
A world-line framework for 1D Topological Conformal sigma-models1507.04995v2 · L. Baulieu, N. L. Holanda, F. Toppan2015 · 2 citationsJ. Math. Phys. 56, 113507 (2015)
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
Superconformal mechanics in SU(2|1) superspace1501.05622v2 · E. Ivanov, S. Sidorov, F. Toppan2015 · 28 citationsPhys. Rev. D 91, 085032 (2015)
ℓ{\ell}-oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras1501.00121v1 · N. Aizawa, Z. Kuznetsova, F. Toppan2014 · 13 citationsJ. Math. Phys. 56, 031701 (2015)
Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality1411.7867v1 · Francesco Toppan2014 · 13 citationsJoP: Conf. Series 597 (2015) 012071
Four types of (super)conformal mechanics: D-module reps and invariant actions1402.7298v2 · N. L. Holanda, F. Toppan2014 · 29 citationsJ. Math. Phys. 55, 061703 (2014)
Chiral and Real N=2 supersymmetric l-conformal Galilei algebras1307.5259v1 · N. Aizawa, Z. Kuznetsova, F. Toppan2013 · 21 citationsJ. Math. Phys. 54 (2013) 093506
Target duality in N=8 superconformal mechanics and the coupling of dual pairs1303.6732v1 · Marcelo Gonzales, Sadi Khodaee, Olaf Lechtenfeld et al.2013 · 1 citationJ. Math. Phys. 54, 072902 (2013)
Critical D-module reps for finite superconformal algebras and their superconformal mechanics1302.3459v1 · Francesco Toppan2013 · 3 citationsNankai Series in Pure App. Math. and Th. Phys.: vol. 11 (2013), p. 417
Effects of Twisted Noncommutativity in Multi-particle Hamiltonians1301.5501v1 · Zhanna Kuznetsova, Francesco Toppan2013 · 8 citationsEur. Phys. J. C (2013) 73:2483
Critical scaling dimension of D-module representations of N=4,7,8 Superconformal Algebras and constraints on Superconformal Mechanics1208.3612v1 · Sadi Khodaee, Francesco Toppan2012 · 26 citationsJ. Math. Phys. 53, 103518 (2012)
Pure and entangled N=4 linear supermultiplets and their one-dimensional sigma-models1204.5506v2 · Marcelo Gonzales, Kevin Iga, Sadi Khodaee et al.2012 · 16 citationsJ. Math. Phys. 53, 103513 (2012)
An Unfolded Quantization for Twisted Hopf Algebras1203.1001v1 · Francesco Toppan2012 · 3 citationsJournal of Physics: Conference Series 343 (2012) 012123
D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics1112.0995v1 · Zhanna Kuznetsova, Francesco Toppan2011 · 36 citationsJ. Math. Phys. 53, 043513 (2012)
Twisted Superalgebras and Cohomologies of the N=2 Superconformal Quantum Mechanics1108.4370v3 · Laurent Baulieu, Francesco Toppan2011 · 3 citationsNucl. Phys. B 855 (2012) 742-759
An N=8 superconformal particle in the half-plane1105.4067v1 · Olaf Lechtenfeld, Francesco Toppan2011 · 2 citationsarXiv
On Chiral and Nonchiral 1D Supermultiplets1105.2016v1 · Francesco Toppan2011 · 3 citationsarXiv
Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist1104.3852v2 · P.G. Castro, R. Kullock, F. Toppan2011 · 15 citationsJ. Math. Phys. 52, 062105 (2011)
Career total: 303 works. 110 are in this corpus.Showing the 50 most recent.

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