C Adam et al 2008 J. Phys. A: Math. Theor. 41 212004 doi:10.1088/1751-8113/41/21/212004
K fields, compactons and thick branes
FREE ARTICLEC Adam1, N Grandi2, J Sánchez-Guillén1 and A Wereszczyński3
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K fields, that is, fields with a non-standard kinetic term, allow for soliton solutions with compact support, i.e., compactons. Compactons in 1+1 dimensions may give rise to topological defects of the domain wall type and have finite thickness in higher dimensions. Here we demonstrate that, for an appropriately chosen kinetic term, the propagation of linear perturbations is completely suppressed outside the topological defect, confining the propagation of particles inside the domain wall. On the other hand, inside the topological defect the propagation of linear perturbations is of the standard type, in spite of the non-standard kinetic term. Consequently, this compacton domain wall may act like a brane of finite thickness which is embedded in a higher dimensional space, but to which matter fields are constrained. In addition, we find strong indications that, when gravity is taken into account, location of gravity in the sense of Randall–Sundrum works for these compacton domain walls. When seen from the bulk, these finite thickness branes, in fact, cannot be distinguished from infinitely thin branes.
- PACS
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11.25.Wx String and brane phenomenology
02.40.-k Geometry, differential geometry, and topology
11.27.+d Extended classical solutions; cosmic strings, domain walls, texture
- MSC
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85A40 Cosmology (For relativistic cosmology, see 83F05)
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
- Subjects
- Dates
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Issue 21 (30 May 2008)
Received 3 April 2008
Published 8 May 2008
A Corrigendum for this article has been published in 2009 J. Phys. A: Math. Theor. 42 159801
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K fields, compactons and thick branes
C Adam et al 2008 J. Phys. A: Math. Theor. 41 212004
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