2003/11/25 by Jarah Evslin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2004/08/021
published as JHEP 0408 (2004) 021 · 25 pages, 4 eps figures
arxiv created 2003/11/25 · openalex publication_date 2004/08/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
We argue that T-duality and F-theory appear automatically in the E8 gauge bundle perspective of M-theory. The 11-dimensional supergravity four-form determines an E8 bundle. If we compactify on a two-torus, this data specifies an LLE8 bundle where LG is a centrally-extended loopgroup of G. If one of the circles of the torus is smaller than sqrt(alpha') then it is also smaller than a nontrivial circle S in the LLE8 fiber and so a dimensional reduction on the total space of the bundle is not valid. We conjecture that S is the circle on which the T-dual type IIB theory is compactified, with the aforementioned torus playing the role of the F-theory torus. As tests we reproduce the T-dualities between NS5-branes and KK-monopoles, as well as D6 and D7-branes where we find the desired F-theory monodromy. Using Hull's proposal for massive IIA, this realization of T-duality allows us to confirm that the Romans mass is the central extension of our LE8. In addition this construction immediately reproduces the conjectured formula for global topology change from T-duality with H-flux.