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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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From the planar limit to M theory
Tatsuo Azeyanagi1, Mitsutoshi Fujita2, Masanori Hanada3
1Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA.
Physical Review Letters
|August 29, 2014
Summary
We propose that a general large-N limit of gauge theories, where
Area of Science:
- Theoretical Physics
- High Energy Physics
- String Theory
Background:
- The large-N limit of gauge theories is crucial in theoretical physics.
- Understanding beyond the planar limit (fixed 't Hooft coupling) is limited.
- General large-N limits are important for non-perturbative M-theory formulations.
Purpose of the Study:
- To explore general large-N limits of gauge theories where 't Hooft coupling grows with N.
- To investigate the relationship between these general large-N limits and the planar limit.
- To support conjectures about the identity of certain quantum field theories.
Main Methods:
- Consideration of gauge theories where 't Hooft coupling grows with N.
- Analysis of the commutation of large-N and strong coupling limits.
- Analytic continuation from the planar limit.
- Reproducing properties of the six-dimensional N=(2,0) theory from five-dimensional maximal super Yang-Mills theory.
Main Results:
- Proposed that general large-N limits are essentially identical to the planar limit.
- Demonstrated that the order of large-N and strong coupling limits commute.
- Showed smooth connection and justified analytic continuation from the planar limit for a wide class of theories.
- Successfully reproduced properties of the six-dimensional N=(2,0) theory.
Conclusions:
- The study provides strong evidence that general large-N limits are equivalent to the planar limit.
- This equivalence justifies analytic continuation and supports conjectures regarding M-theory and specific quantum field theories.
- The findings advance the understanding of non-perturbative aspects of gauge theories and M-theory.
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