Bulk-boundary correspondence between charged, anyonic strings and vortices

被引:2
作者
Gussmann, Alexander [1 ]
Sarkar, Debajyoti [2 ]
Wintergerst, Nico [3 ]
机构
[1] Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr Theoret Phys, Theresienstr 37, D-80333 Munich, Germany
[2] Univ Bern, Albert Einstein Ctr Fundamental Phys, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland
[3] Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark
关键词
Anyons; Holography and condensed matter physics (AdS; CMT); ChernSimons Theories; Topological Field Theories; FRACTIONAL STATISTICS; SPIN; MECHANICS; SYMMETRY;
D O I
10.1007/JHEP12(2018)093
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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.
引用
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页数:23
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