Results 61 to 70 of about 22,559 (202)

Twisted Hilbert spaces of 3d supersymmetric gauge theories

open access: yesJournal 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
doaj   +1 more source

Non-commutative supersymmetric quantum mechanics

open access: yesPhysics Letters B, 2009
General non-commutative supersymmetric quantum mechanics models in two and three dimensions are constructed and some two and three dimensional examples are explicitly studied. The structure of the theory studied suggest other possible applications in physical systems with potentials involving spin and non-local interactions.
Das, Ashok   +3 more
openaire   +7 more sources

Holomorphic field theories and higher algebra

open access: yesBulletin 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
wiley   +1 more source

Deep Quantum Geometry of Matrices

open access: yesPhysical 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
doaj   +1 more source

Time Dependent Supersymmetry in Quantum Mechanics [PDF]

open access: yes, 1997
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al.
Bagrov, Vladislav G., Samsonov, Boris F.
core   +1 more source

Supersymmetric quantum mechanics under point singularities [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2003
We provide a systematic study on the possibility of supersymmetry (SUSY) for one dimensional quantum mechanical systems consisting of a pair of lines $\R$ or intervals [-l, l] each having a point singularity. We consider the most general singularities and walls (boundaries) at $x = \pm l$ admitted quantum mechanically, using a U(2) family of parameters
Uchino, Takashi, Tsutsui, Izumi
openaire   +2 more sources

Relational Supersymmetry via the Dressing Field Method and Matter‐Interaction Supergeometric Framework

open access: yesAnnalen 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

open access: yesAdvances 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
doaj   +1 more source

Direct computational approach to lattice supersymmetric quantum mechanics

open access: yesNuclear 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
doaj   +1 more source

Disk, interval, point: on constructions of quantum field theories with holomorphic action functionals

open access: yesJournal 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
doaj   +1 more source

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