1998/06/30 by C. M. Hull, C.M Hull · 7 citations
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Compactification (mathematics) #De Sitter space #De Sitter universe #Gauge theory #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Relationship between string theory and quantum field theory #String field theory #String theory #de Sitter–Schwarzschild metric #hep-th
paper · pdf · doi:10.1088/1126-6708/1998/07/021
published as JHEP 9807 (1998) 021 · 47 pages, 1 Postscript figure, uses phyzzx macro. Monor corrections
openalex publication_date 1998/07/29 · arxiv created 1998/08/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
T-Duality on a timelike circle does not interchange IIA and IIB string theories, but takes the IIA theory to a type IIB^* theory and the IIB theory to a type IIA^* theory. The type II^* theories admit E-branes, which are the images of the type II D-branes under timelike T-duality and correspond to imposing Dirichlet boundary conditions in time as well as some of the spatial directions. The effective action describing an En-brane is the n-dimensional Euclidean super-Yang-Mills theory obtained by dimensionally reducing 9+1 dimensional super-Yang-Mills on 9-n spatial dimensions and one time dimension. The IIB^* theory has a solution which is the product of 5-dimensional de Sitter space and a 5-hyperboloid, and the E4-brane corresponds to anon-singular complete solution which interpolates between this solution and flat space. This leads to a duality between the large N limit of the Euclidean 4-dimensional U(N) super-Yang-Mills theory and the IIB^* string theory in de Sitter space, and both are invariant under the same de Sitter supergroup. This theory can be twisted to obtain a large N topological gauge theory and its topological string theory dual. Flat space-time may be an unstable vacuum for the type II^* theories, but they have supersymmetric cosmological solutions.