Results 51 to 60 of about 1,634,345 (167)
Supersymmetric Quantum Mechanics and Painlevé IV Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2011 As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation.
David Bermúdez, David J. Fernández C.
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Deep Quantum Geometry of Matrices
Physical Review X, 2020 We employ machine learning techniques to provide accurate variational wave functions for matrix quantum mechanics, with multiple bosonic and fermionic matrices.
Xizhi Han (韩希之), Sean A. Hartnoll
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Direct computational approach to lattice supersymmetric quantum mechanics
Nuclear Physics B, 2018 We study the lattice supersymmetric models numerically using the transfer matrix approach. This method consists only of deterministic processes and has no statistical uncertainties.
Daisuke Kadoh, Katsumasa Nakayama
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Journal of High Energy Physics, 2020 Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed in the other ...
Nafiz Ishtiaque, Junya Yagi
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Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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Planarizable Supersymmetric Quantum Toboggans
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted complex deformations of the ...
Miloslav Znojil
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Dimensional Enhancement via Supersymmetry
Advances in Mathematical Physics, 2011 We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension.
M. G. Faux, K. M. Iga, G. D. Landweber
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Modeling General Asymptotic Calabi–Yau Periods
Fortschritte der Physik, Volume 73, Issue 7, July 2025.Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian +2 more
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Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
Symmetry, Integrability and Geometry: Methods and Applications, 2011 This is a brief survey of applications of the harmonic superspace methods to the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on a recent progress in constructing SQM models with couplings to the background non-Abelian gauge ...
Evgeny A. Ivanov
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