Bulk-boundary correspondence between charged, anyonic strings and vortices

Gußmann, Alexander; Sarkar, Debajyoti; Wintergerst, Nico (2018). Bulk-boundary correspondence between charged, anyonic strings and vortices. Journal of High Energy Physics, 2018(12), 093. Springer 10.1007/JHEP12(2018)093

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We discuss a unified framework of dealing with electrically charged, anyonic vortices in 2+1 dimensional spacetimes and extended, anyonic string-like vortices in one higher dimension. We elaborate on two ways of charging these topological objects and point out that in both cases the vortices and strings obey fractional statistics as a consequence of being electrically charged. The statistics of the charged vortices and strings can be obtained from the phase shift of their respective wave-functions under the classic Aharonov-Bohm type experiments. We show that for a manifold with boundary, where one can realize 2+1 dimensional vortices as endpoints of trivially extended 3+1 dimensional strings, there is a smooth limit where the phase shift of a bulk string-vortex goes over to the phase shift of the boundary vortex. This also enables one to read off the bulk statistics (arising essentially from either a QCD theta-type term or an external current along the string) just from the corresponding boundary statistics in a generic setting. Finally, we discuss various applications of these findings, and in particular their prospects for the AdS/CFT duality.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Sarkar, Debajyoti

Subjects:

500 Science > 530 Physics

ISSN:

1029-8479

Publisher:

Springer

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

25 Feb 2019 11:55

Last Modified:

05 Dec 2022 15:24

Publisher DOI:

10.1007/JHEP12(2018)093

ArXiv ID:

1809.06871

BORIS DOI:

10.7892/boris.123744

URI:

https://boris.unibe.ch/id/eprint/123744

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