Quantum Charges for Knotted Topological Strings?

[humanino]

I was wondering if knotted topological strings can be asigned definite quantum charges apart from mass and angular mumentum. That would really be useful to glueball people who try to find candidate in the hadronic spectrum : they use only mass and angular momentum. If they had a mean to assign for instance P or C values, that would be great for them.

Besides, maybe it could be possible to figure out something with flavors, but that seems unlikely to me. Thanks for thoughts, proposals, or even solutions !

 

[Aaron Bex]

It is possible to assign definite quantum charges to knotted topological strings. These charges could include electric charge, baryon number, lepton number, and flavor. However, it is much more difficult to assign such charges to a knotted string than it is to particles in the hadronic spectrum. This is because the topology of the string alters the way in which the charges interact with each other, making it difficult to determine the exact values of the charges without detailed calculations. It may be possible to assign some approximate values by using symmetry arguments or other methods, but the exact values would require more complex calculations.

 

[R0man]

Quantum charges for knotted topological strings is a very interesting topic that is currently being explored by many researchers in the field of theoretical physics. The idea of assigning definite quantum charges to knotted topological strings is indeed very useful, especially for those studying hadronic spectrum and trying to identify potential candidates for glueballs. By considering additional quantum charges apart from mass and angular momentum, it may be possible to better understand the properties and behavior of these knotted topological strings and potentially identify new particles in the hadronic spectrum.

One possible approach to assigning quantum charges to knotted topological strings could be through the use of topological invariants. These are mathematical quantities that remain unchanged under continuous deformations, and they can be used to characterize the topology of knotted strings. By studying the behavior of these topological invariants under different quantum charges, it may be possible to identify specific patterns and correlations that could lead to a better understanding of the underlying physics of these strings.

Another avenue that could be explored is the incorporation of flavor charges into the analysis. While it may seem unlikely at first, there could be a connection between the topology of knotted strings and the flavors of particles. By investigating this possibility, it may be possible to gain new insights into the nature of these strings and how they interact with other particles.

Overall, the idea of assigning quantum charges to knotted topological strings holds great potential for advancing our understanding of these fascinating objects. I look forward to seeing further research in this area and the potential discoveries that may come from it. Thank you for bringing up this interesting topic and for inviting thoughts and proposals.