A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants
We describe a web of well-known dualities connecting quantum field theories in $d=1+1$ dimensions. The web is constructed by gauging ${\bf Z}_2$ global symmetries and includes a number of perennial favourites such as the Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dir...
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| Format: | Article |
| Language: | English |
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SciPost
2019-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.7.1.007 |
| _version_ | 1818651785879879680 |
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| author | Andreas Karch, David Tong, Carl Turner |
| author_facet | Andreas Karch, David Tong, Carl Turner |
| author_sort | Andreas Karch, David Tong, Carl Turner |
| collection | DOAJ |
| description | We describe a web of well-known dualities connecting quantum field theories
in $d=1+1$ dimensions. The web is constructed by gauging ${\bf Z}_2$ global
symmetries and includes a number of perennial favourites such as the
Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dirac
fermion, and T-duality. There are also less-loved examples, such as non-modular
invariant $c=1$ CFTs that depend on a background spin structure. |
| first_indexed | 2024-12-17T02:11:38Z |
| format | Article |
| id | doaj.art-aa0a9d76abbd45008d8d3b93fdbf7109 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-17T02:11:38Z |
| publishDate | 2019-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-aa0a9d76abbd45008d8d3b93fdbf71092022-12-21T22:07:31ZengSciPostSciPost Physics2542-46532019-07-017100710.21468/SciPostPhys.7.1.007A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariantsAndreas Karch, David Tong, Carl TurnerWe describe a web of well-known dualities connecting quantum field theories in $d=1+1$ dimensions. The web is constructed by gauging ${\bf Z}_2$ global symmetries and includes a number of perennial favourites such as the Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dirac fermion, and T-duality. There are also less-loved examples, such as non-modular invariant $c=1$ CFTs that depend on a background spin structure.https://scipost.org/SciPostPhys.7.1.007 |
| spellingShingle | Andreas Karch, David Tong, Carl Turner A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants SciPost Physics |
| title | A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants |
| title_full | A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants |
| title_fullStr | A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants |
| title_full_unstemmed | A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants |
| title_short | A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants |
| title_sort | web of 2d dualities bf z 2 gauge fields and arf invariants |
| url | https://scipost.org/SciPostPhys.7.1.007 |
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