| dc.contributor |
Massachusetts Institute of Technology. Department of Physics |
|
| dc.creator |
Wang, Juven |
|
| dc.creator |
Wen, Xiao-Gang |
|
| dc.creator |
Witten, Edward |
|
| dc.date |
2022-07-19T15:30:05Z |
|
| dc.date |
2021-09-20T18:22:58Z |
|
| dc.date |
2022-07-19T15:30:05Z |
|
| dc.date |
2019 |
|
| dc.date |
2020-11-16T19:10:23Z |
|
| dc.date.accessioned |
2023-02-17T20:16:31Z |
|
| dc.date.available |
2023-02-17T20:16:31Z |
|
| dc.identifier |
https://hdl.handle.net/1721.1/132545.2 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/242485 |
|
| dc.description |
© 2019 Author(s). A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r + 1/2, is inconsistent. We describe here a more subtle anomaly that can affect SU(2) gauge theory in four dimensions under the condition that fermions transform with half-integer spin under SU(2) and bosons transform with integer spin. Such a theory, formulated in a way that requires no choice of spin structure, and with an odd number of fermion multiplets in representations of spin 4r + 3/2, is inconsistent. The theory is consistent if one picks a spin or spin c structure. Under Higgsing to U(1), the new SU(2) anomaly reduces to a known anomaly of "all-fermion electrodynamics." Like that theory, an SU(2) theory with an odd number of fermion multiplets in representations of spin 4r + 3/2 can provide a boundary state for a five-dimensional gapped theory whose partition function on a closed five-manifold Y is (-1)-Yw2w3. All statements have analogs with SU(2) replaced by Sp(2N). There is also an analog in five dimensions. |
|
| dc.format |
application/octet-stream |
|
| dc.language |
en |
|
| dc.publisher |
AIP Publishing |
|
| dc.relation |
10.1063/1.5082852 |
|
| dc.relation |
Journal of Mathematical Physics |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.source |
arXiv |
|
| dc.title |
A new SU(2) anomaly |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|