The Kaluza Klein Melvin solution in M-theory

By M. Costa, M. Gutperle. 2000

162 citations recorded by the source corpus.

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' flip. We show that partition functions of nine-dimensional type-IIA strings and of a (?1)F?1/2 type-IIA orbifold both with NS-NS Melvin fluxtubes 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-brane pairs, while in the 0A case spacetime decays through Witten's bubble production.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/13833113997c3bc9d8fbd6ea337c7aeffc0320fc

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In Astronomy and Astrophysics

  1. T. Nishioka
  2. T. Takayanagi
  3. L. Cornalba
  4. M. Costa
  5. Joanna L. Karczmarek
  6. G. Rajesh
  7. T. Kernreiter
  8. Keshav Dasgupta

In Nuclear and High Energy Physics

  1. T. Nishioka
  2. T. Takayanagi
  3. M. Costa
  4. L. Cornalba
  5. Joanna L. Karczmarek
  6. Keshav Dasgupta
  7. J. Maldacena
  8. G. Rajesh

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