Results 91 to 100 of about 104,941 (239)
Superstructures on graded phase space [PDF]
, 1988 In this thesis we study problems associated with the generalisation, to include Grassmann type variables, of the 'group theoretical' approach to quantisation of C.Isham [37].
Speares, William, Speares, W
core
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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Twisted Hilbert spaces of 3d supersymmetric gauge theories
Journal of High Energy Physics, 2018 We study aspects of 3d N=2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line.
Mathew Bullimore, Andrea Ferrari
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Quaternionic Formulation of Supersymmetric Quantum Mechanics [PDF]
International Journal of Theoretical Physics, 2008 Quaternionic formulation of supersymmetric quantum mechanics has been developed consistently in terms of Hamiltonians, superpartner Hamiltonians, and supercharges for free particle and interacting field in one and three dimensions. Supercharges, superpartner Hamiltonians and energy eigenvalues are discussed and it has been shown that the results are ...
Rawat, Seema, Negi, O. P. S.
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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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Symmetries in Quantum Mechanics and Statistical Physics [PDF]
, 2021 This book collects contributions to the Special Issue entitled "Symmetries in Quantum Mechanics and Statistical Physics" of the journal Symmetry. These contributions focus on recent advancements in the study of PT–invariance of non-Hermitian Hamiltonians,
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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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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
wiley +1 more source
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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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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