Balachandran, AP and Nair, VP and Pinzul, A and Reyes-Lega, AF and Vaidya, S (2022) Superselection, boundary algebras, and duality in gauge theories. In: Physical Review D, 106 (2).
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Abstract
We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge degrees of freedom in a gauge theory. In this paper, we augment these by introducing the dual or magnetic analog of such operators. We then study the algebra of these operators, focusing on implications for the superselection sectors of the gauge theory. A manifestly duality-invariant action is also considered, from which alternate descriptions which are SL(2,Z) transforms of each other can be obtained. We also comment on a number of issues related to local charges, definition of confinement and the appearance of interesting mathematical structures such as the Drinfel'd double and the Manin triple.
| Item Type: | Journal Article |
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| Publication: | Physical Review D |
| Publisher: | American Physical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 10 Aug 2022 05:47 |
| Last Modified: | 10 Aug 2022 05:47 |
| URI: | https://eprints.iisc.ac.in/id/eprint/75780 |
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