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The Kaluza-Klein Melvin solution in M-theory

Title
The Kaluza-Klein Melvin solution in M-theory
Type
Article in International Scientific Journal
Year
2001
Authors
Costa, MS
(Author)
FCUP
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Gutperle, M
(Author)
Other
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Journal
Vol. 5
Pages: XXXVII-17
Publisher: Springer Nature
Scientific classification
FOS: Natural sciences > Physical sciences
Other information
Authenticus ID: P-007-FNE
Abstract (EN): We study some aspects of the Kaluza-Klein Melvin solution in M-theory. The associated magnetic field has a maximal critical value B = +/-1/R where R is the radius of the compactification circle. It is argued that the Melvin background of type IIA with magnetic field B and of type 0A with magnetic field B' = B - 1/R are equivalent. Evidence for this conjecture is provided using a further circle compactification and a '9-11' ip. We show that partition functions of nine-dimensional type-IIA strings and of a (-1)(F)sigma (1/2) type-IIA orbifold both with NS-NS Melvin flux-tubes are related by such shift of the magnetic field. Then the instabilities of both IIA and 0A Melvin solutions are analyzed. For each theory there is an instanton associated to the decay of spacetime. In the IIA case the decay mode is associated to the nucleation of D6/D(6) over bar -brane pairs, while in the 0A case spacetime decays through Witten's bubble production.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 18
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