# Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras

@article{Oikonomou2013SupersymmetricCV, title={Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras}, author={Vasilis K. Oikonomou}, journal={Nuclear Physics}, year={2013}, volume={870}, pages={477-494} }

## 15 Citations

### Extended Supersymmetric Quantum Mechanics Algebras in Scattering States of Fermions off Domain Walls

- Physics, Mathematics
- 2014

We study the underlying extended supersymmetric structure in a system composed of fermions scattered off an infinitely extended static domain wall in the xz-plane. As we shall demonstrate, the…

### ONE-DIMENSIONAL SUPERSYMMETRIC ALGEBRAS IN COLOR SUPERCONDUCTORS AND REISSNER–NORDSTRÖM–ANTI-DE SITTER GRAVITATIONAL SYSTEMS

- Physics
- 2013

We study two fermionic systems that have an underlying supersymmetric structure, namely a color superconductor and Dirac fermion in a Reissner–Nordstrom–anti-de Sitter gravitational background. In…

### Localized fermions on domain walls and extended supersymmetric quantum mechanics

- Physics
- 2013

We study fermionic fields localized on topologically unstable domain walls bounded by strings in a grand unified theory theoretical framework. Particularly, we found that the localized fermionic…

### Low Dimensional Supersymmetries in SUSY Chern-Simons Systems and Geometrical Implications

- Mathematics
- 2013

We study in detail the underlying graded geometric structure of abelian N=2 supersymmetric Chern-Simons theory in $(2+1)$-dimensions. This structure is an attribute of the hidden unbroken one…

### Extended Supersymmetries and 2 + 1 Dimensional Supersymmetric Chern Simons Theories

- Physics
- 2013

We study N = 2 supersymmetric Chern-Simons Higgs models in (2+1)-dimensions. As we will demonstrate, an extended supersymmetric quantum mechanics algebras underlies the fermionic zero modes quantum…

### Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around Non-Abelian Vortices

- Physics
- 2014

Fermionic zero modes around non-abelian vortices are shown that they constitute two N = 2, d = 1 supersymmetric quantum mechanics algebras. These two algebras can be combined under certain…

### Modular operators and entanglement in supersymmetric quantum mechanics

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

The modular operator approach of Tomita–Takesaki to von Neumann algebras is elucidated in the algebraic structure of certain supersymmetric (SUSY) quantum mechanical systems. A von Neumann algebra is…

### Fermions in a Reissner–Nordström–anti-de Sitter black hole background and N = 4 supersymmetry with nontrivial topological charges

- Physics
- 2014

We demonstrate that the fermions in Reissner–Nordstrom–anti-de Sitter black hole background in the chiral limit m = 0, are related to an N = 4 extended one-dimensional supersymmetry with nontrivial…

### Graded Geometric Structures Underlying F-Theory Related Defect Theories

- Mathematics
- 2013

In the context of F-theory, we study the related eight-dimensional super-Yang–Mills theory and reveal the underlying supersymmetric quantum mechanics algebra that the fermionic fields localized on…

## References

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This work analyzes fermion zero modes around a general self‐dual multi‐vortex background in N=1 and N=2 supersymmetric Maxwell‐Chern‐Simons Higgs systems and provides a supersymmetry‐based explanation of the result.

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It is shown that in the minimal coupling zero modes and bound states at threshold do not exist and, on the other hand, that, by adding to the fermion Lagrangian two different types of Higgs-fermion interactions, such modes can be generated for specific values of the coupling constants.

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We explore a simple supersymmetric quantum mechanics (SQM) model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as…

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This work shows that the additive shape invariance condition is specified by a difference-differential equation; it is shown that this equation is equivalent to an infinite set of partial differential equations.

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We derive an explicit formula for the index of coupled Dirac-Klein-Gordon-type operators involving as background fields the scalar and vector fields of Higgs models in two space dimensions. The…