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I just add the tag topological-order to attract answer from people in this community.
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FraSchelle
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user108787
user108787

I read an article today on stack exchange titled "Superconductor Symmetry Breaking". The 2016 Nobel Prize was awarded for research on topological phase transitions in the study of superconductors and as an example how KT transition can be used to explain how superconductivity disappears at higher temperatures. 

Is symmetry breaking in superconductors ultimately some description of topological spaces or are gauge theories describing spontaneous symmetry breaking in superconductors actually a subset of some deeper topological description of superconductivity. 

Or perhaps superconductivity comes in many guises and different aspects may be described by disparate mathematical descriptions. As

As a hobbyist I can only ask the experts. I am curious about the topic. Tags maybe not correctly chosen.

I read an article today on stack exchange titled "Superconductor Symmetry Breaking". The 2016 Nobel Prize was awarded for research on topological phase transitions in the study of superconductors and as an example how KT transition can be used to explain how superconductivity disappears at higher temperatures. Is symmetry breaking in superconductors ultimately some description of topological spaces or are gauge theories describing spontaneous symmetry breaking in superconductors actually a subset of some deeper topological description of superconductivity. Or perhaps superconductivity comes in many guises and different aspects may be described by disparate mathematical descriptions. As a hobbyist I can only ask the experts. I am curious about the topic. Tags maybe not correctly chosen.

I read an article today on stack exchange titled "Superconductor Symmetry Breaking". The 2016 Nobel Prize was awarded for research on topological phase transitions in the study of superconductors and as an example how KT transition can be used to explain how superconductivity disappears at higher temperatures. 

Is symmetry breaking in superconductors ultimately some description of topological spaces or are gauge theories describing spontaneous symmetry breaking in superconductors actually a subset of some deeper topological description of superconductivity. 

Or perhaps superconductivity comes in many guises and different aspects may be described by disparate mathematical descriptions.

As a hobbyist I can only ask the experts. I am curious about the topic. Tags maybe not correctly chosen.

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user86411
user86411

Topology and Superconductor Symmetry Breaking

I read an article today on stack exchange titled "Superconductor Symmetry Breaking". The 2016 Nobel Prize was awarded for research on topological phase transitions in the study of superconductors and as an example how KT transition can be used to explain how superconductivity disappears at higher temperatures. Is symmetry breaking in superconductors ultimately some description of topological spaces or are gauge theories describing spontaneous symmetry breaking in superconductors actually a subset of some deeper topological description of superconductivity. Or perhaps superconductivity comes in many guises and different aspects may be described by disparate mathematical descriptions. As a hobbyist I can only ask the experts. I am curious about the topic. Tags maybe not correctly chosen.