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Kaluza-Klein Monopoles and their Zero Modes
Csaba Csáki1, Yuri Shirman2, John Terning3
1Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA.
Physical Review Letters
|March 16, 2018
Summary
Fermionic zero modes in Kaluza-Klein monopole backgrounds require sufficient real mass for existence. This explains the decoupling of Kaluza-Klein monopole effects in supersymmetric theories with large masses.
Area of Science:
- Theoretical physics
- High-energy physics
- String theory
Background:
- Kaluza-Klein theory introduces extra spatial dimensions.
- Monopoles are hypothetical particles with magnetic charge.
- Fermionic zero modes are crucial in quantum field theories.
Purpose of the Study:
- Determine conditions for fermionic zero modes in Kaluza-Klein monopole backgrounds.
- Explain the decoupling of Kaluza-Klein monopole effects in supersymmetric theories.
- Investigate the role of zero mode counting in nonperturbative dynamics.
Main Methods:
- Analysis of fermionic zero modes in Kaluza-Klein monopole backgrounds.
- Investigation of the dependence on real mass parameters.
- Application to nonperturbative effects in low-energy dynamics.
Main Results:
- No zero mode exists without a real mass.
- A normalizable zero mode appears with sufficiently large real mass.
- Provides an explanation for the decoupling of Kaluza-Klein monopole effects.
Conclusions:
- Real mass is essential for the existence of fermionic zero modes.
- The findings offer insights into supersymmetric theories and nonperturbative dynamics.
- Zero mode counting is vital for understanding low-energy physics.
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