Worldsheet instanton corrections to the Kaluza-Klein monopole
Author(s) -
Jeffrey A. Harvey,
Steuard Jensen
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/10/028
Subject(s) - physics , magnetic monopole , worldsheet , instanton , kaluza–klein theory , string (physics) , duality (order theory) , sigma model , moduli space , mathematical physics , winding number , isometry (riemannian geometry) , theoretical physics , brane , s duality , quantum electrodynamics , quantum mechanics , string field theory , geometry , mathematical analysis , combinatorics , mathematics , relationship between string theory and quantum field theory , quantum , nonlinear system , quantum gravity
The Kaluza-Klein monopole is a well known object in both gravity and stringtheory, related by T-duality to a "smeared" NS5-brane which retains theisometry around the duality circle. As the true NS5-brane solution is localizedat a point on the circle, duality implies that the Kaluza-Klein monopole shouldshow some corresponding behavior. In this paper, we express the Kaluza-Kleinmonopole as a gauged linear sigma model in two dimensions and show thatworldsheet instantons give corrections to its geometry. These corrections canbe understood as a localization in "winding space" which could be probed bystrings with winding charge around the circle.Comment: 20 pages, REVTeX, v2: minor equation correctio
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